# zbMATH — the first resource for mathematics

## Lück, Wolfgang

Compute Distance To:
 Author ID: luck.wolfgang Published as: Lück, Wolfgang; Lück, W. Homepage: http://131.220.77.52/lueck/ External Links: MGP · Wikidata · GND
 Documents Indexed: 151 Publications since 1985, including 16 Books Reviewing Activity: 85 Reviews
all top 5

#### Co-Authors

 50 single-authored 13 Bartels, Arthur C. 10 Reich, Holger 8 Friedl, Stefan 6 Farrell, F. Thomas 6 Schick, Thomas 5 Kreck, Matthias 5 Linnell, Peter Arnold 5 Sauer, Roman 5 Steimle, Wolfgang 4 Blagojević, Pavle V. M. 4 Dubois, Jérôme 4 Oliver, Bob 4 Ranicki, Andrew A. 4 Ziegler, Günter Matthias 3 Davis, James Frederic 3 Varisco, Marco 3 Weinberger, Shmuel 2 Connolly, Frank 2 Echterhoff, Siegfried 2 Fiore, Thomas M. 2 Gordon, Cameron McA. 2 Langer, Martin 2 Madsen, Ib Henning 2 Rognes, John 2 Rosenberg, Jonathan Micah 2 Rüping, Henrik 2 Schmidt, Vasco Alexander 2 Teichner, Peter 1 Ausoni, Christian 1 Bergeron, Nicolas 1 Cohen, Frederick Ronald 1 Enkelmann, Nils-Edvin 1 Ershov, Mikhail V. 1 Farber, Michael S. 1 Ferry, Steven C. 1 Göttsche, Lothar 1 Hambleton, Ian 1 Hebestreit, Fabian 1 Hess, Kathryn P. 1 Joachim, Michael 1 Johnson, Brenda Lynn 1 Jones, Lowell Edwin 1 Kammeyer, Holger 1 Kasprowski, Daniel 1 Koch, Herbert 1 Kropholler, Peter H. 1 Laitinen, Erkki K. 1 Land, Markus 1 Leichtnam, Eric 1 Li, Xin 1 Lott, John 1 Meintrup, David 1 Osin, Denis V. 1 Phillips, N. Christopher 1 Pieper, Malte 1 Randal-Williams, Oscar 1 Rørdam, Mikael 1 Rosenthal, David S. H. 1 Rothenberg, Melvin G. 1 Scherer, Jérôme 1 Stamm, Roland 1 Thielmann, Thomas 1 Tillmann, Stephan 1 Ullmann, Mark 1 Uribe, Bernardo 1 Walters, Samuel G. 1 Wegner, Christian 1 Weiermann, Michael 1 Winges, Christoph
all top 5

#### Serials

 7 Journal für die Reine und Angewandte Mathematik 7 $$K$$-Theory 7 Geometry & Topology 5 Journal of Pure and Applied Algebra 5 Forum Mathematicum 5 Journal of Topology and Analysis 4 Proceedings of the London Mathematical Society. Third Series 4 Algebraic & Geometric Topology 4 Pure and Applied Mathematics Quarterly 4 Journal of Topology 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Topology 3 Geometric and Functional Analysis. GAFA 2 Advances in Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of Differential Geometry 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Documenta Mathematica 2 European Mathematical Society Newsletter 2 Oberwolfach Reports 2 Contemporary Mathematics 2 Groups, Geometry, and Dynamics 2 Münster Journal of Mathematics 2 Annals of $$K$$-Theory 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Algebra 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Internationale Mathematische Nachrichten 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Lecture Notes in Mathematics 1 ICPT Lecture Notes 1 Oberwolfach Seminars 1 Journal of Noncommutative Geometry 1 EMS Surveys in Mathematical Sciences
all top 5

#### Fields

 82 Manifolds and cell complexes (57-XX) 63 Algebraic topology (55-XX) 57 $$K$$-theory (19-XX) 29 Functional analysis (46-XX) 25 Category theory; homological algebra (18-XX) 24 Group theory and generalizations (20-XX) 20 Global analysis, analysis on manifolds (58-XX) 7 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

116 Publications have been cited 1,423 times in 768 Documents Cited by Year
$$L^2$$-invariants: Theory and applications to geometry and $$K$$-theory. Zbl 1009.55001
Lück, Wolfgang
2002
Transformation groups and algebraic $$K$$-theory. Zbl 0679.57022
Lück, Wolfgang
1989
Spaces over a category and assembly maps in isomorphism conjectures in $$K$$- and $$L$$-theory. Zbl 0921.19003
Davis, James F.; Lück, Wolfgang
1998
Approximating $$L^ 2$$-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
1994
The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021
Bartels, Arthur; Lück, Wolfgang
2012
The Baum-Connes and the Farrell-Jones conjectures in $$K$$- and $$L$$-theory. Zbl 1120.19001
Lück, Wolfgang; Reich, Holger
2005
The $$K$$-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Survey on classifying spaces for families of subgroups. Zbl 1117.55013
Lück, Wolfgang
2005
The type of the classifying space for a family of subgroups. Zbl 0955.55009
Lück, Wolfgang
2000
Analytic and topological torsion for manifolds with boundary and symmetry. Zbl 0792.53025
Lück, Wolfgang
1993
The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012
Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang
2014
The structure of crossed products of irrational rotation algebras by finite subgroups of $$\text{SL}_2(\mathbb Z)$$. Zbl 1202.46081
Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel
2010
$$L^ 2$$-topological invariants of 3-manifolds. Zbl 0876.57050
Lott, John; Lück, Wolfgang
1995
$$L^2$$-torsion of hyperbolic manifolds of finite volume. Zbl 0947.58024
Lück, W.; Schick, T.
1999
Dimension theory of arbitrary modules over finite von Neumann algebras and $$L^2$$-Betti numbers. I: Foundations. Zbl 0921.55016
Lück, Wolfgang
1998
The completion theorem in $$K$$-theory for proper actions of a discrete group. Zbl 0981.55002
Lück, Wolfgang; Oliver, Bob
2001
On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011
Lück, Wolfgang; Weiermann, Michael
2012
Hilbert modules and modules over finite von Neumann algebras and applications to $$L^ 2$$-invariants. Zbl 0886.57028
Lück, Wolfgang
1997
On the Farrell-Jones conjecture and its applications. Zbl 1141.19002
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Chern characters for proper equivariant homology theories and applications to $$K$$- and $$L$$-theory. Zbl 0987.55008
Lück, Wolfgang
2002
On the universal space for group actions with compact isotropy. Zbl 0979.55010
Lück, Wolfgang; Meintrup, David
2000
Computations of $$K$$- and $$L$$-theory of cocompact planar groups. Zbl 0979.19003
Lück, Wolfgang; Stamm, Roland
2000
Equivariant covers for hyperbolic groups. Zbl 1185.20045
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
The equivariant Lefschetz fixed point theorem for proper cocompact $$G$$-manifolds. Zbl 1046.57026
Lück, Wolfgang; Rosenberg, Jonathan
2003
$$L^ 2$$-Betti numbers of mapping tori and groups. Zbl 0847.55004
Lück, Wolfgang
1994
Geodesic flow for CAT(0)-groups. Zbl 1263.37052
Bartels, Arthur; Lück, Wolfgang
2012
Reidemeister torsion and the $$K$$-theory of von Neumann algebras. Zbl 0748.57007
Lück, Wolfgang; Rothenberg, Mel
1991
The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003
Lück, Wolfgang
2002
Various $$L^2$$-signatures and a topological $$L^2$$-signature theorem. Zbl 1044.58026
Lück, Wolfgang; Schick, Thomas
2003
Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005
Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang
2008
Isomorphism conjecture for homotopy $$K$$-theory and groups acting on trees. Zbl 1093.19002
Bartels, Arthur; Lück, Wolfgang
2006
$$L^2$$-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017
Lück, Wolfgang
2002
The Novikov conjecture. Geometry and algebra. Zbl 1058.19001
Kreck, Matthias; Lück, Wolfgang
2005
$$K$$- and $$L$$-theory of group rings over $$\mathrm{GL}_n(\mathbb Z)$$. Zbl 1300.19001
Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik
2014
Dimension theory of arbitrary modules over finite von Neumann algebras and $$L^2$$-Betti numbers. II: Applications to Grothendieck groups, $$L^2$$-Euler characteristics and Burnside groups. Zbl 1001.55019
Lück, Wolfgang
1998
The transfer maps induced in the algebraic $$K_ 0$$-and $$K_ 1$$-groups by a fibration. I. Zbl 0589.57020
Lück, Wolfgang
1986
Induction theorems and isomorphism conjectures for $$K$$- and $$L$$-theory. Zbl 1141.19001
Bartels, Arthur; Lück, Wolfgang
2007
On crossed product rings with twisted involutions, their module categories and $$L$$-theory. Zbl 1205.19006
Bartels, Arthur; Lück, Wolfgang
2010
Topological rigidity for non-aspherical manifolds. Zbl 1196.57018
Kreck, M.; Lück, W.
2009
On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020
Lück, Wolfgang
2009
The Farrell-Hsiang method revisited. Zbl 1298.18010
Bartels, A.; Lück, W.
2012
Detecting $$K$$-theory by cyclic homology. Zbl 1116.19002
Lück, Wolfgang; Reich, Holger
2006
$$K$$- and $$L$$-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by $$\mathbb Z/4$$. Zbl 1073.19004
Lück, Wolfgang
2005
The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019
Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik
2016
Equivariant L-theory. I. Zbl 0698.57009
1990
Surgery obstructions of fibre bundles. Zbl 0755.57013
Lück, Wolfgang; Ranicki, Andrew
1992
Approximating the first $$L^2$$-Betti number of residually finite groups. Zbl 1243.20039
Lück, W.; Osin, D.
2011
The $$p$$-chain spectral sequence. Zbl 1051.55009
Davis, James F.; Lück, Wolfgang
2003
Approximating $$L^2$$-invariants and homology growth. Zbl 1273.22009
Lück, W.
2013
Equivariant topology of configuration spaces. Zbl 1329.55019
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.
2015
Equivariant Eilenberg-MacLane spaces K($${\mathcal G},\mu,1)$$ for possibly non-connected or empty fixed point sets. Zbl 0617.57021
Lück, Wolfgang
1987
The transfer maps induced in the algebraic $$K_ 0$$- and $$K_ 1$$-groups by a fibration. II. Zbl 0657.57010
Lück, Wolfgang
1987
On hyperbolic groups with spheres as boundary. Zbl 1216.53043
Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel
2010
Stable prime decompositions of four-manifolds. Zbl 0928.57019
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
1995
A basic introduction to surgery theory. Zbl 1045.57020
Lück, Wolfgang
2002
Chern characters for the equivariant $$K$$-theory of proper $$G$$-CW-complexes. Zbl 0988.55005
Lück, Wolfgang; Oliver, Bob
2001
Commuting homotopy limits and smash products. Zbl 1053.55004
Lück, Wolfgang; Reich, Holger; Varisco, Marco
2003
The $$L^2$$-Alexander torsion is symmetric. Zbl 1337.57035
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2015
The $$L^2$$-Alexander torsion of 3-manifolds. Zbl 1355.57009
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2016
$$L^{2}$$-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053
Lück, Wolfgang; Sauer, Roman; Wegner, Christian
2010
Equivariant cohomological Chern characters. Zbl 1102.55004
Lück, Wolfgang
2005
Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014
Lück, Wolfgang; Steimle, Wolfgang
2016
Chain homotopy projections. Zbl 0671.18005
Lück, Wolfgang; Ranicki, Andrew
1989
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
2002
Topological $$K$$-theory of the group $$C^{\ast}$$-algebra of a semi-direct product $$\mathbb Z^n \rtimes \mathbb Z/m$$ for a free conjugation action. Zbl 1253.19004
Langer, Martin; Lück, Wolfgang
2012
On the group cohomology of the semi-direct product $$\mathbb Z^n\rtimes_\rho\mathbb Z/m$$ and a conjecture of Adem-Ge-Pan-Petrosyan. Zbl 1278.20072
Langer, Martin; Lück, Wolfgang
2012
The limit of $$\mathbb F_p$$-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006
Linnell, Peter; Lück, Wolfgang; Sauer, Roman
2011
Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
1995
On the Farrell-Jones conjecture for Waldhausen’s $$A$$-theory. Zbl 1453.19002
Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph
2018
$$K$$-theory for ring $$C^\ast$$-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050
Li, Xin; Lück, Wolfgang
2012
Universal $$L^2$$-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029
Friedl, Stefan; Lück, Wolfgang
2017
Approximating $$L^2$$-invariants by their classical counterparts. Zbl 1380.57032
Lück, Wolfgang
2016
Surgery transfer. Zbl 0677.57012
Lück, W.; Ranicki, A.
1988
A caveat on the isomorphisms conjecture in $$L$$-theory. Zbl 1013.19002
Farrell, Tom; Jones, Lowell; Lück, Wolfgang
2002
$$L^ 2$$-torsion and 3-manifolds. Zbl 0870.57029
Lück, Wolfgang
1994
Euler characteristics of categories and homotopy colimits. Zbl 1267.18011
Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman
2011
Rational computations of the topological $$K$$-theory of classifying spaces of discrete groups. Zbl 1144.55007
Lück, Wolfgang
2007
Equivariant Euler characteristics and $$K$$-homology Euler classes for proper cocompact $$G$$-manifolds. Zbl 1034.19003
Lück, Wolfgang; Rosenberg, Jonathan
2003
The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016
Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas
2003
On the growth of Betti numbers in $$p$$-adic analytic towers. Zbl 1298.55007
Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman
2014
Three flavors of twisted invariants of knots. Zbl 1356.57014
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2015
Approximating $$L^2$$-signatures by their compact analogues. Zbl 1064.57026
Lück, Wolfgang; Schick, Thomas
2005
Equivariant $$L$$-theory. II. Zbl 0735.57020
1990
The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009
Lück, Wolfgang
2005
Survey on aspherical manifolds. Zbl 1215.57001
Lück, Wolfgang
2010
Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014
Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman
2011
$$L^2$$-invariants from the algebraic point of view. Zbl 1259.57001
Lück, Wolfgang
2009
Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014
Kropholler, Peter; Linnell, Peter; Lück, Wolfgang
2009
Obstructions to fibering a manifold. Zbl 1220.57013
Farrell, F. T.; Lück, Wolfgang; Steimle, Wolfgang
2010
Novikov-Shubin invariants for arbitrary group actions and their positivity. Zbl 0939.55011
Lück, Wolfgang; Reich, Holger; Schick, Thomas
1999
$$K$$- and $$L$$-theory of group rings. Zbl 1231.18008
Lück, Wolfgang
2011
The topological K-theory of certain crystallographic groups. Zbl 1279.19003
Davis, James F.; Lück, Wolfgang
2013
On highly regular embeddings. Zbl 1445.55012
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.
2016
Equivariant Lefschetz classes. Zbl 0701.55002
Laitinen, Erkki; Lück, Wolfgang
1989
Torsion and fibrations. Zbl 0912.58044
Lück, Wolfgang; Schick, Thomas; Thielmann, Thomas
1998
$$L^2$$-invariants and their applications to geometry, group theory and spectral theory. Zbl 1047.58500
Lück, Wolfgang
2001
The involution on the equivariant Whitehead group. Zbl 0656.57010
Connolly, Frank; Lück, Wolfgang
1988
Algebraic $$K$$-theory of von Neumann algebras. Zbl 0802.19001
Lück, Wolfgang; Rørdam, Mikael
1993
The universal functorial Lefschetz invariant. Zbl 0938.57017
Lück, Wolfgang
1999
Equivariant principal bundles and their classifying spaces. Zbl 1307.55008
Lück, Wolfgang; Uribe, Bernardo
2014
On the Farrell-Jones conjecture for Waldhausen’s $$A$$-theory. Zbl 1453.19002
Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph
2018
Twisting $$L^2$$-invariants with finite-dimensional representations. Zbl 1411.57037
Lück, Wolfgang
2018
Universal $$L^2$$-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029
Friedl, Stefan; Lück, Wolfgang
2017
Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002
Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco
2017
The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019
Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik
2016
The $$L^2$$-Alexander torsion of 3-manifolds. Zbl 1355.57009
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2016
Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014
Lück, Wolfgang; Steimle, Wolfgang
2016
Approximating $$L^2$$-invariants by their classical counterparts. Zbl 1380.57032
Lück, Wolfgang
2016
On highly regular embeddings. Zbl 1445.55012
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.
2016
On complex highly regular embeddings and the extended Vassiliev conjecture. Zbl 1404.55017
Blagojević, Pavle V. M.; Cohen, Frederick R.; Lück, Wolfgang; Ziegler, Günter M.
2016
A twisted Bass-Heller-Swan decomposition for the algebraic $$K$$-theory of additive categories. Zbl 1338.19003
Lück, Wolfgang; Steimle, Wolfgang
2016
Equivariant topology of configuration spaces. Zbl 1329.55019
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.
2015
The $$L^2$$-Alexander torsion is symmetric. Zbl 1337.57035
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2015
Three flavors of twisted invariants of knots. Zbl 1356.57014
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2015
The $$L^2$$-Alexander torsions of 3-manifolds. (Torsions d’Alexander $$L^2$$ pour les variétés de dimension trois.) Zbl 1307.57011
Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
2015
Estimates for spectral density functions of matrices over $$\mathbb{C} [\mathbb{Z}^d]$$. (Estimation de fonctions de densité spectrale de matrices de $$\mathbb{C} [\mathbb{Z}^d]$$.) Zbl 1330.46069
Lück, Wolfgang
2015
On highly regular embeddings. Zbl 1351.57027
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.
2015
The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012
Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang
2014
$$K$$- and $$L$$-theory of group rings over $$\mathrm{GL}_n(\mathbb Z)$$. Zbl 1300.19001
Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik
2014
On the growth of Betti numbers in $$p$$-adic analytic towers. Zbl 1298.55007
Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman
2014
Equivariant principal bundles and their classifying spaces. Zbl 1307.55008
Lück, Wolfgang; Uribe, Bernardo
2014
The first $$L^2$$-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031
Ershov, Mikhail; Lück, Wolfgang
2014
On the $$K$$- and $$L$$-theory of hyperbolic and virtually finitely generated abelian groups. Zbl 1329.19006
Lück, Wolfgang; Rosenthal, David
2014
Approximating $$L^2$$-invariants and homology growth. Zbl 1273.22009
Lück, W.
2013
The topological K-theory of certain crystallographic groups. Zbl 1279.19003
Davis, James F.; Lück, Wolfgang
2013
The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021
Bartels, Arthur; Lück, Wolfgang
2012
On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011
Lück, Wolfgang; Weiermann, Michael
2012
Geodesic flow for CAT(0)-groups. Zbl 1263.37052
Bartels, Arthur; Lück, Wolfgang
2012
The Farrell-Hsiang method revisited. Zbl 1298.18010
Bartels, A.; Lück, W.
2012
Topological $$K$$-theory of the group $$C^{\ast}$$-algebra of a semi-direct product $$\mathbb Z^n \rtimes \mathbb Z/m$$ for a free conjugation action. Zbl 1253.19004
Langer, Martin; Lück, Wolfgang
2012
On the group cohomology of the semi-direct product $$\mathbb Z^n\rtimes_\rho\mathbb Z/m$$ and a conjecture of Adem-Ge-Pan-Petrosyan. Zbl 1278.20072
Langer, Martin; Lück, Wolfgang
2012
$$K$$-theory for ring $$C^\ast$$-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050
Li, Xin; Lück, Wolfgang
2012
Induction and computation of Bass nil groups for finite groups. (Induction and computation of Bass Nil groups for finite groups.) Zbl 1250.19003
Hambleton, Ian; Lück, Wolfgang
2012
Approximating the first $$L^2$$-Betti number of residually finite groups. Zbl 1243.20039
Lück, W.; Osin, D.
2011
The limit of $$\mathbb F_p$$-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006
Linnell, Peter; Lück, Wolfgang; Sauer, Roman
2011
Euler characteristics of categories and homotopy colimits. Zbl 1267.18011
Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman
2011
Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014
Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman
2011
$$K$$- and $$L$$-theory of group rings. Zbl 1231.18008
Lück, Wolfgang
2011
The structure of crossed products of irrational rotation algebras by finite subgroups of $$\text{SL}_2(\mathbb Z)$$. Zbl 1202.46081
Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel
2010
On crossed product rings with twisted involutions, their module categories and $$L$$-theory. Zbl 1205.19006
Bartels, Arthur; Lück, Wolfgang
2010
On hyperbolic groups with spheres as boundary. Zbl 1216.53043
Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel
2010
$$L^{2}$$-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053
Lück, Wolfgang; Sauer, Roman; Wegner, Christian
2010
Survey on aspherical manifolds. Zbl 1215.57001
Lück, Wolfgang
2010
Obstructions to fibering a manifold. Zbl 1220.57013
Farrell, F. T.; Lück, Wolfgang; Steimle, Wolfgang
2010
Topological rigidity for non-aspherical manifolds. Zbl 1196.57018
Kreck, M.; Lück, W.
2009
On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020
Lück, Wolfgang
2009
$$L^2$$-invariants from the algebraic point of view. Zbl 1259.57001
Lück, Wolfgang
2009
Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014
Kropholler, Peter; Linnell, Peter; Lück, Wolfgang
2009
The $$K$$-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
On the Farrell-Jones conjecture and its applications. Zbl 1141.19002
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Equivariant covers for hyperbolic groups. Zbl 1185.20045
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005
Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang
2008
Survey on geometric group theory. Zbl 1197.20036
Lück, Wolfgang
2008
Induction theorems and isomorphism conjectures for $$K$$- and $$L$$-theory. Zbl 1141.19001
Bartels, Arthur; Lück, Wolfgang
2007
Rational computations of the topological $$K$$-theory of classifying spaces of discrete groups. Zbl 1144.55007
Lück, Wolfgang
2007
Isomorphism conjecture for homotopy $$K$$-theory and groups acting on trees. Zbl 1093.19002
Bartels, Arthur; Lück, Wolfgang
2006
Detecting $$K$$-theory by cyclic homology. Zbl 1116.19002
Lück, Wolfgang; Reich, Holger
2006
The Baum-Connes and the Farrell-Jones conjectures in $$K$$- and $$L$$-theory. Zbl 1120.19001
Lück, Wolfgang; Reich, Holger
2005
Survey on classifying spaces for families of subgroups. Zbl 1117.55013
Lück, Wolfgang
2005
The Novikov conjecture. Geometry and algebra. Zbl 1058.19001
Kreck, Matthias; Lück, Wolfgang
2005
$$K$$- and $$L$$-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by $$\mathbb Z/4$$. Zbl 1073.19004
Lück, Wolfgang
2005
Equivariant cohomological Chern characters. Zbl 1102.55004
Lück, Wolfgang
2005
Approximating $$L^2$$-signatures by their compact analogues. Zbl 1064.57026
Lück, Wolfgang; Schick, Thomas
2005
The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009
Lück, Wolfgang
2005
The equivariant Lefschetz fixed point theorem for proper cocompact $$G$$-manifolds. Zbl 1046.57026
Lück, Wolfgang; Rosenberg, Jonathan
2003
Various $$L^2$$-signatures and a topological $$L^2$$-signature theorem. Zbl 1044.58026
Lück, Wolfgang; Schick, Thomas
2003
The $$p$$-chain spectral sequence. Zbl 1051.55009
Davis, James F.; Lück, Wolfgang
2003
Commuting homotopy limits and smash products. Zbl 1053.55004
Lück, Wolfgang; Reich, Holger; Varisco, Marco
2003
Equivariant Euler characteristics and $$K$$-homology Euler classes for proper cocompact $$G$$-manifolds. Zbl 1034.19003
Lück, Wolfgang; Rosenberg, Jonathan
2003
The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016
Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas
2003
$$L^2$$-invariants: Theory and applications to geometry and $$K$$-theory. Zbl 1009.55001
Lück, Wolfgang
2002
Chern characters for proper equivariant homology theories and applications to $$K$$- and $$L$$-theory. Zbl 0987.55008
Lück, Wolfgang
2002
The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003
Lück, Wolfgang
2002
$$L^2$$-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017
Lück, Wolfgang
2002
A basic introduction to surgery theory. Zbl 1045.57020
Lück, Wolfgang
2002
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
2002
A caveat on the isomorphisms conjecture in $$L$$-theory. Zbl 1013.19002
Farrell, Tom; Jones, Lowell; Lück, Wolfgang
2002
The completion theorem in $$K$$-theory for proper actions of a discrete group. Zbl 0981.55002
Lück, Wolfgang; Oliver, Bob
2001
Chern characters for the equivariant $$K$$-theory of proper $$G$$-CW-complexes. Zbl 0988.55005
Lück, Wolfgang; Oliver, Bob
2001
$$L^2$$-invariants and their applications to geometry, group theory and spectral theory. Zbl 1047.58500
Lück, Wolfgang
2001
The type of the classifying space for a family of subgroups. Zbl 0955.55009
Lück, Wolfgang
2000
On the universal space for group actions with compact isotropy. Zbl 0979.55010
Lück, Wolfgang; Meintrup, David
2000
Computations of $$K$$- and $$L$$-theory of cocompact planar groups. Zbl 0979.19003
Lück, Wolfgang; Stamm, Roland
2000
$$L^2$$-torsion of hyperbolic manifolds of finite volume. Zbl 0947.58024
Lück, W.; Schick, T.
1999
Novikov-Shubin invariants for arbitrary group actions and their positivity. Zbl 0939.55011
Lück, Wolfgang; Reich, Holger; Schick, Thomas
1999
The universal functorial Lefschetz invariant. Zbl 0938.57017
Lück, Wolfgang
1999
Spaces over a category and assembly maps in isomorphism conjectures in $$K$$- and $$L$$-theory. Zbl 0921.19003
Davis, James F.; Lück, Wolfgang
1998
Dimension theory of arbitrary modules over finite von Neumann algebras and $$L^2$$-Betti numbers. I: Foundations. Zbl 0921.55016
Lück, Wolfgang
1998
Dimension theory of arbitrary modules over finite von Neumann algebras and $$L^2$$-Betti numbers. II: Applications to Grothendieck groups, $$L^2$$-Euler characteristics and Burnside groups. Zbl 1001.55019
Lück, Wolfgang
1998
Torsion and fibrations. Zbl 0912.58044
Lück, Wolfgang; Schick, Thomas; Thielmann, Thomas
1998
Hilbert modules and modules over finite von Neumann algebras and applications to $$L^ 2$$-invariants. Zbl 0886.57028
Lück, Wolfgang
1997
$$L^ 2$$-topological invariants of 3-manifolds. Zbl 0876.57050
Lott, John; Lück, Wolfgang
1995
Stable prime decompositions of four-manifolds. Zbl 0928.57019
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
1995
Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
1995
Approximating $$L^ 2$$-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
1994
$$L^ 2$$-Betti numbers of mapping tori and groups. Zbl 0847.55004
Lück, Wolfgang
1994
$$L^ 2$$-torsion and 3-manifolds. Zbl 0870.57029
Lück, Wolfgang
1994
Analytic and topological torsion for manifolds with boundary and symmetry. Zbl 0792.53025
Lück, Wolfgang
1993
Algebraic $$K$$-theory of von Neumann algebras. Zbl 0802.19001
Lück, Wolfgang; Rørdam, Mikael
1993
Surgery obstructions of fibre bundles. Zbl 0755.57013
Lück, Wolfgang; Ranicki, Andrew
1992
...and 16 more Documents
all top 5

#### Cited by 682 Authors

 54 Lück, Wolfgang 17 Bartels, Arthur C. 13 Martínez-Pérez, Conchita 12 Schick, Thomas 11 Elek, Gábor 10 Juan-Pineda, Daniel 10 Mathai, Varghese 10 Ranicki, Andrew A. 10 Sauer, Roman 10 Thom, Andreas Berthold 9 Kochloukova, Dessislava Hristova 9 Linnell, Peter Arnold 9 Nucinkis, Brita E. A. 9 Petrosyan, Nansen 8 Blagojević, Pavle V. M. 8 Farrell, F. Thomas 8 Khan, Qayum 8 Reich, Holger 8 Weinberger, Shmuel 8 Wu, Xiaolei 7 Emerson, Heath 7 Friedl, Stefan 7 Li, Hanfeng 7 Vaš, Lia 7 Wegner, Christian 6 Bárcenas, Noé 6 Bunke, Ulrich 6 Davis, James Frederic 6 Davis, Michael W. 6 Degrijse, Dieter 6 Gusein-Zade, Sabir M. 6 Löh, Clara 6 Raimbault, Jean 6 Rosenthal, David S. H. 6 Vertman, Boris 6 Yalçın, Ergün 6 Ziegler, Günter Matthias 5 Abért, Miklós 5 Bergeron, Nicolas 5 Cochran, Thomas (Tim) Daniel 5 Cortiñas, Guillermo H. 5 Echterhoff, Siegfried 5 Farber, Michael S. 5 Golasiński, Marek 5 Hartmann, Luiz 5 Harvey, Shelly L. 5 Jaikin-Zapirain, Andrei 5 Kasprowski, Daniel 5 Kyed, David 5 Leidy, Constance 5 Meyer, Ralf 5 Osin, Denis V. 5 Petersen, Henrik Densing 5 Rosenberg, Jonathan Micah 5 Rüping, Henrik 5 Spreafico, Mauro 5 Winges, Christoph 5 Yu, Guoliang 4 Ara, Pere 4 Ben Aribi, Fathi 4 Burghelea, Dan 4 Dubois, Jérôme 4 Engel, Alexander 4 Flores, Ramón J. 4 Grabowski, Łukasz 4 Jiménez Benitez, Rolando 4 Kielak, Dawid 4 Lafont, Jean-François 4 Leary, Ian James 4 Li, Liping 4 Linckelmann, Markus 4 Nikolov, Nikolay Valeriev 4 Prassidis, Stratos 4 Roushon, Sayed K. 4 Sánchez Saldaña, Luis Jorge 4 Veselić, Ivan 4 Wu, Jianchao 4 Yates, Stuart G. 3 Alekseev, Vadim 3 Antolín, Yago 3 Bartholdi, Laurent 3 Cantarero, José 3 Cha, Jae Choon 3 Chakraborty, Sayan 3 Chang, Stanley S. 3 Connolly, Frank 3 Crowley, Diarmuid John 3 Dicks, Warren 3 Dodziuk, Jozef 3 Ebeling, Wolfgang 3 Farsi, Carla 3 Ferrario, Davide L. 3 Funke, Florian 3 Gandini, Giovanni 3 Guentner, Erik Paul 3 Hambleton, Ian 3 Hillman, Jonathan Arthur 3 Hirshberg, Ilan 3 Januszkiewicz, Tadeusz 3 Jo, Jang Hyun ...and 582 more Authors
all top 5

#### Cited in 133 Serials

 45 Algebraic & Geometric Topology 36 Journal of Algebra 34 Advances in Mathematics 31 Proceedings of the American Mathematical Society 30 Transactions of the American Mathematical Society 30 Geometry & Topology 27 Journal of Functional Analysis 27 Groups, Geometry, and Dynamics 24 Mathematische Annalen 24 Topology and its Applications 22 Journal of Pure and Applied Algebra 17 Journal of Topology and Analysis 16 Mathematische Zeitschrift 14 $$K$$-Theory 13 Inventiones Mathematicae 13 Geometric and Functional Analysis. GAFA 12 Forum Mathematicum 12 Journal of Noncommutative Geometry 11 Communications in Mathematical Physics 11 Israel Journal of Mathematics 10 Annales de l’Institut Fourier 10 Journal für die Reine und Angewandte Mathematik 9 Duke Mathematical Journal 8 Journal of Geometry and Physics 8 Journal of Homotopy and Related Structures 8 Journal of Topology 8 Journal of $$K$$-Theory 7 Geometriae Dedicata 7 Journal of the American Mathematical Society 6 Manuscripta Mathematica 6 Ergodic Theory and Dynamical Systems 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications in Algebra 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Bulletin of the London Mathematical Society 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Expositiones Mathematicae 5 Communications in Contemporary Mathematics 4 Letters in Mathematical Physics 4 Archiv der Mathematik 4 Annals of Global Analysis and Geometry 4 International Journal of Algebra and Computation 4 Journal of Mathematical Sciences (New York) 4 Documenta Mathematica 4 Journal of Group Theory 4 Annals of Mathematics. Second Series 4 Journal of the Institute of Mathematics of Jussieu 3 Communications on Pure and Applied Mathematics 3 Acta Mathematica 3 Compositio Mathematica 3 Publications Mathématiques 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Osaka Journal of Mathematics 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Algebras and Representation Theory 3 Journal of Fixed Point Theory and Applications 3 Annals of $$K$$-Theory 3 Transactions of the American Mathematical Society. Series B 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Acta Mathematica Vietnamica 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Illinois Journal of Mathematics 2 Michigan Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Publicacions Matemàtiques 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Knot Theory and its Ramifications 2 Applied Categorical Structures 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Theory and Applications of Categories 2 Annales Henri Poincaré 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Oberwolfach Reports 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series ...and 33 more Serials
all top 5

#### Cited in 41 Fields

 278 Manifolds and cell complexes (57-XX) 237 Group theory and generalizations (20-XX) 195 Algebraic topology (55-XX) 176 $$K$$-theory (19-XX) 132 Functional analysis (46-XX) 108 Global analysis, analysis on manifolds (58-XX) 90 Category theory; homological algebra (18-XX) 69 Topological groups, Lie groups (22-XX) 63 Associative rings and algebras (16-XX) 49 Dynamical systems and ergodic theory (37-XX) 48 Differential geometry (53-XX) 31 Number theory (11-XX) 30 Abstract harmonic analysis (43-XX) 29 Combinatorics (05-XX) 21 Algebraic geometry (14-XX) 19 Several complex variables and analytic spaces (32-XX) 16 Operator theory (47-XX) 16 General topology (54-XX) 14 Quantum theory (81-XX) 10 Convex and discrete geometry (52-XX) 9 Measure and integration (28-XX) 9 Partial differential equations (35-XX) 8 Probability theory and stochastic processes (60-XX) 7 Commutative algebra (13-XX) 7 Geometry (51-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functions of a complex variable (30-XX) 4 Nonassociative rings and algebras (17-XX) 3 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.