# zbMATH — the first resource for mathematics

## Joachim, Michael

Compute Distance To:
 Author ID: joachim.michael Published as: Joachim, M.; Joachim, Michael
 Documents Indexed: 15 Publications since 2000, including 1 Book Reviewing Activity: 91 Reviews
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#### Co-Authors

 5 single-authored 2 Stolz, Stephan A. 1 Bárcenas, Noé 1 Barnea, Ilan 1 Bunke, Ulrich 1 Espinoza, Jesús F. 1 Hebestreit, Fabian 1 Husemoller, Dale H. 1 Johnson, Mark W. 1 Jurčo, Branislav 1 Lück, Wolfgang 1 Mahanta, Snigdhayan 1 Schick, Thomas 1 Schottenloher, Martin 1 Uribe, Bernardo 1 Wraith, David J.
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#### Serials

 1 Archiv der Mathematik 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 Algebraic & Geometric Topology 1 Lecture Notes in Physics 1 Journal of Topology 1 Münster Journal of Mathematics
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#### Fields

 11 Algebraic topology (55-XX) 7 $$K$$-theory (19-XX) 7 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Category theory; homological algebra (18-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

13 Publications have been cited 58 times in 49 Documents Cited by Year
$$K$$-homology of $$C^*$$-categories and symmetric spectra representing $$K$$-homology. Zbl 1048.19005
Joachim, Michael
2003
Higher coherences for equivariant $$K$$-theory. Zbl 1070.19007
Joachim, Michael
2004
Universal twist in equivariant $$K$$-theory for proper and discrete actions. Zbl 1297.19008
Bárcenas, Noé; Espinoza, Jesús; Joachim, Michael; Uribe, Bernardo
2014
Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture. Zbl 0980.53050
Joachim, Michael; Schick, Thomas
2000
Exotic spheres and curvature. Zbl 1149.53020
Joachim, M.; Wraith, D. J.
2008
Model structure on projective systems of $$C^\ast$$-algebras and bivariant homology theories. Zbl 1380.46053
Barnea, Ilan; Joachim, Michael; Mahanta, Snigdhayan
2017
A symmetric ring spectrum representing KO-theory. Zbl 0979.55002
Joachim, Michael
2001
Twisted spin cobordism and positive scalar curvature. Zbl 07197477
Hebestreit, Fabian; Joachim, Michael
2020
Realizing Kasparov’s $$KK$$-theory groups as the homotopy classes of maps of a Quillen model category. Zbl 1103.46048
Joachim, Michael; Johnson, Mark W.
2006
Toral classes and the Gromov-Lawson-Rosenberg conjecture for elementary abelian 2-groups. Zbl 1080.55007
Joachim, Michael
2004
Classifying spaces and spectra representing the $$K$$-theory of a graded $$K$$-theory of a graded $$C^*$$-algebra. Zbl 1049.46050
Bunke, Ulrich; Joachim, Michael; Stolz, Stephan
2003
Basic bundle theory and $$K$$-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. Zbl 1135.19001
Husemöller, Dale; Joachim, Michael; Jurčo, Branislav; Schottenloher, Martin
2008
Unbounded Fredholm operators and $$K$$-theory. Zbl 1049.46051
Joachim, Michael
2003
Twisted spin cobordism and positive scalar curvature. Zbl 07197477
Hebestreit, Fabian; Joachim, Michael
2020
Model structure on projective systems of $$C^\ast$$-algebras and bivariant homology theories. Zbl 1380.46053
Barnea, Ilan; Joachim, Michael; Mahanta, Snigdhayan
2017
Universal twist in equivariant $$K$$-theory for proper and discrete actions. Zbl 1297.19008
Bárcenas, Noé; Espinoza, Jesús; Joachim, Michael; Uribe, Bernardo
2014
Exotic spheres and curvature. Zbl 1149.53020
Joachim, M.; Wraith, D. J.
2008
Basic bundle theory and $$K$$-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. Zbl 1135.19001
Husemöller, Dale; Joachim, Michael; Jurčo, Branislav; Schottenloher, Martin
2008
Realizing Kasparov’s $$KK$$-theory groups as the homotopy classes of maps of a Quillen model category. Zbl 1103.46048
Joachim, Michael; Johnson, Mark W.
2006
Higher coherences for equivariant $$K$$-theory. Zbl 1070.19007
Joachim, Michael
2004
Toral classes and the Gromov-Lawson-Rosenberg conjecture for elementary abelian 2-groups. Zbl 1080.55007
Joachim, Michael
2004
$$K$$-homology of $$C^*$$-categories and symmetric spectra representing $$K$$-homology. Zbl 1048.19005
Joachim, Michael
2003
Classifying spaces and spectra representing the $$K$$-theory of a graded $$K$$-theory of a graded $$C^*$$-algebra. Zbl 1049.46050
Bunke, Ulrich; Joachim, Michael; Stolz, Stephan
2003
Unbounded Fredholm operators and $$K$$-theory. Zbl 1049.46051
Joachim, Michael
2003
A symmetric ring spectrum representing KO-theory. Zbl 0979.55002
Joachim, Michael
2001
Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture. Zbl 0980.53050
Joachim, Michael; Schick, Thomas
2000
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#### Cited by 65 Authors

 4 Bárcenas, Noé 4 Mahanta, Snigdhayan 3 Sagave, Steffen 3 Schick, Thomas 3 Uribe, Bernardo 2 Barnea, Ilan 2 Bunke, Ulrich 2 Chang, Stanley S. 2 Hebestreit, Fabian 2 Land, Markus 2 Nikolaus, Thomas 2 Pennig, Ulrich 2 Velásquez, Mario 1 Antieau, Benjamin 1 Balmer, Paul 1 Bentmann, Rasmus 1 Brendle, Simon 1 Cantarero, José 1 Carrillo-Rouse, Paulo 1 Cortiñas, Guillermo H. 1 Dadarlat, Marius 1 Davis, James Frederic 1 Debray, Arun 1 Dell’Ambrogio, Ivo 1 Ellis, Eugenia 1 Ershov, A. V. 1 Espinoza, Jesús F. 1 Galindo Martínez, César Neyit 1 Ge, Jianquan 1 Gepner, David 1 Goldstein, Paweł 1 Gómez, José Manuel Estebaranz 1 Gunningham, Sam 1 Gutiérrez, Ismael 1 Hajłasz, Piotr 1 Hanke, Bernhard 1 Kennard, Lee 1 Leichtnam, Eric 1 Lück, Wolfgang 1 Markert, Elke K. 1 Mathew, Akhil 1 Matthey, Michel 1 Mitchener, Paul D. 1 Naumann, Niko 1 Niknam, Assadollah 1 Noel, Justin 1 Pape, Daniel 1 Patchkoria, Irakli 1 Pearson, Kimberly 1 Piazza, Paolo 1 Sánchez-García, Rubén J. 1 Schlank, Tomer M. 1 Schlichtkrull, Christian 1 Schoen, Richard Melvin 1 Sharifi, Kamran 1 Spitzweck, Markus 1 Szumiło, Karol 1 Szymik, Markus 1 Tabuada, Gonçalo 1 Uuye, Otgonbayar 1 Weinberger, Shmuel 1 Wiemeler, Michael 1 Wraith, David J. 1 Yu, Guoliang 1 Zenobi, Vito Felice
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#### Cited in 25 Serials

 5 Advances in Mathematics 5 Algebraic & Geometric Topology 4 Transactions of the American Mathematical Society 3 Proceedings of the American Mathematical Society 3 Journal of Noncommutative Geometry 2 Journal of Geometry and Physics 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 The Journal of Geometric Analysis 2 Theory and Applications of Categories 2 Journal of Homotopy and Related Structures 2 Journal of Topology 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Journal of Algebra 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology and Analysis 1 Forum of Mathematics, Sigma
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#### Cited in 14 Fields

 28 Algebraic topology (55-XX) 26 $$K$$-theory (19-XX) 19 Functional analysis (46-XX) 11 Differential geometry (53-XX) 11 Manifolds and cell complexes (57-XX) 10 Category theory; homological algebra (18-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Associative rings and algebras (16-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 General topology (54-XX)