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Troitskiĭ, Evgeniĭ Vadimovich

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Author ID: troitskii.evgenii-vadimovich Recent zbMATH articles by "Troitskiĭ, Evgeniĭ Vadimovich"
Published as: Troitskii, E.; Troitskii, E. V.; Troitskij, E. V.; Troitsky, E.; Troitsky, E. V.; Troitsky, Evgenii V.; Troitsky, Evgenij; Troitsky, Evgenij V.
Homepage: http://mech.math.msu.su/~troitsky/start_en.html
External Links: Math-Net.Ru · ResearchGate · GND
Documents Indexed: 64 Publications since 1985, including 5 Books

Publications by Year

Citations contained in zbMATH

37 Publications have been cited 231 times in 116 Documents Cited by Year
Hilbert \(C^*\)-modules. Translated from the Russian by the authors. Zbl 1074.46001
Manuilov, V. M.; Troitsky, E. V.
39
2005
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
20
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
19
2007
Aspects of the property \(R_\infty\). Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
14
2015
Hilbert \(C^*\) and \(W^*\)-modules and their morphisms. Zbl 0968.46041
Manuilov, V. M.; Troitsky, E. V.
14
2000
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
12
2006
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
9
2008
An index for gauge-invariant operators and the Dixmier-Douady invariant. Zbl 1030.46095
Nistor, Victor; Troitsky, Evgenij
9
2004
\(C^*\)-algebras and elliptic operators in differential topology. Transl. from the Russian by E. V. Troitsky. Zbl 0958.46038
Solovyov, Yu. P.; Troitsky, E. V.
9
2001
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
8
2006
Quantization of branched coverings. Zbl 1254.46064
Pavlov, A. A.; Troitskii, E. V.
7
2011
Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy. Zbl 1149.43004
Troitsky, E. V.
7
2006
On conditional expectations arising from group actions. Zbl 0903.46064
Frank, M.; Manuilov, V. M.; Troitsky, E. V.
6
1997
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
5
2018
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
5
2015
Hilbert \(C^*\)-modules from group actions: beyond the finite orbits case. Zbl 1210.46044
Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij
5
2010
The index of equivariant elliptic operators over \(C^*\)-algebras. Zbl 0656.46043
Troitsky, E. V.
5
1987
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
4
2008
Discrete groups actions and corresponding modules. Zbl 1113.46058
Troitsky, E. V.
4
2003
Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families. Zbl 1318.19008
Nistor, V.; Troitsky, E.
3
2015
The Thom isomorphism in gauge-equivariant \(K\)-theory. Zbl 1139.58016
Nistor, Victor; Troitsky, Evgenij
3
2006
Orthogonal complements and endomorphisms of Hilbert modules and \(C^*\)-elliptic complexes. Zbl 0958.46031
Troitsky, Evgenii V.
3
1995
Reidemeister classes in lamplighter-type groups. Zbl 07098071
Troitsky, Evgenij
2
2019
A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras. Zbl 1228.46053
Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij
2
2010
A \(C^{*}\)-analogue of Kazhdan’s property (T). Zbl 1130.46036
Pavlov, A. A.; Troitsky, E. V.
2
2007
‘Twice’ equivariant \(C^*\)-index theorem and the index theorem for families. Zbl 1013.46059
Troitsky, Evgenij V.
2
2001
Lefschetz numbers and geometry of operators in \(W^*\)-modules. Zbl 0922.58081
Frank, M.; Troitskij, E. V.
2
1996
Lefschetz numbers of \(C^*\)-complexes. Zbl 0768.46040
Troitskij, E. V.
2
1991
Reidemeister classes in some weakly branch groups. Zbl 07073127
Troitsky, E. V.
1
2019
Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems. Zbl 1415.46038
Troitskii, E.
1
2018
Property (T) for topological groups and \(C^*\)-algebras. Zbl 1188.46032
Pavlov, A.; Troitsky, E.
1
2009
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
1
2008
Conditional expectations of finite index and properties of modules arising from group actions. Zbl 1086.46040
Troitsky, E. V.
1
2004
Geometry and topology of operators on Hilbert \(C^*\)-modules. Zbl 0959.46043
Troitsky, E. V.
1
2000
Functionals on \(\ell_2(A)\), Kuiper and Dixmier-Douady type theorems for \(C^*\)-Hilbert modules. Zbl 0987.46048
Troitskij, E. V.
1
1999
The Hirzebruch operator on piecewise linear manifolds and highest signatures. Zbl 0824.57019
Troitskij, E. V.
1
1993
The equivariant index of C *-elliptic operators. Zbl 0641.46047
Troitskij, E. V.
1
1987
Reidemeister classes in lamplighter-type groups. Zbl 07098071
Troitsky, Evgenij
2
2019
Reidemeister classes in some weakly branch groups. Zbl 07073127
Troitsky, E. V.
1
2019
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
5
2018
Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems. Zbl 1415.46038
Troitskii, E.
1
2018
Aspects of the property \(R_\infty\). Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
14
2015
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
5
2015
Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families. Zbl 1318.19008
Nistor, V.; Troitsky, E.
3
2015
Quantization of branched coverings. Zbl 1254.46064
Pavlov, A. A.; Troitskii, E. V.
7
2011
Hilbert \(C^*\)-modules from group actions: beyond the finite orbits case. Zbl 1210.46044
Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij
5
2010
A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras. Zbl 1228.46053
Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij
2
2010
Property (T) for topological groups and \(C^*\)-algebras. Zbl 1188.46032
Pavlov, A.; Troitsky, E.
1
2009
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
20
2008
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
9
2008
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
4
2008
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
1
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
19
2007
A \(C^{*}\)-analogue of Kazhdan’s property (T). Zbl 1130.46036
Pavlov, A. A.; Troitsky, E. V.
2
2007
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
12
2006
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
8
2006
Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy. Zbl 1149.43004
Troitsky, E. V.
7
2006
The Thom isomorphism in gauge-equivariant \(K\)-theory. Zbl 1139.58016
Nistor, Victor; Troitsky, Evgenij
3
2006
Hilbert \(C^*\)-modules. Translated from the Russian by the authors. Zbl 1074.46001
Manuilov, V. M.; Troitsky, E. V.
39
2005
An index for gauge-invariant operators and the Dixmier-Douady invariant. Zbl 1030.46095
Nistor, Victor; Troitsky, Evgenij
9
2004
Conditional expectations of finite index and properties of modules arising from group actions. Zbl 1086.46040
Troitsky, E. V.
1
2004
Discrete groups actions and corresponding modules. Zbl 1113.46058
Troitsky, E. V.
4
2003
\(C^*\)-algebras and elliptic operators in differential topology. Transl. from the Russian by E. V. Troitsky. Zbl 0958.46038
Solovyov, Yu. P.; Troitsky, E. V.
9
2001
‘Twice’ equivariant \(C^*\)-index theorem and the index theorem for families. Zbl 1013.46059
Troitsky, Evgenij V.
2
2001
Hilbert \(C^*\) and \(W^*\)-modules and their morphisms. Zbl 0968.46041
Manuilov, V. M.; Troitsky, E. V.
14
2000
Geometry and topology of operators on Hilbert \(C^*\)-modules. Zbl 0959.46043
Troitsky, E. V.
1
2000
Functionals on \(\ell_2(A)\), Kuiper and Dixmier-Douady type theorems for \(C^*\)-Hilbert modules. Zbl 0987.46048
Troitskij, E. V.
1
1999
On conditional expectations arising from group actions. Zbl 0903.46064
Frank, M.; Manuilov, V. M.; Troitsky, E. V.
6
1997
Lefschetz numbers and geometry of operators in \(W^*\)-modules. Zbl 0922.58081
Frank, M.; Troitskij, E. V.
2
1996
Orthogonal complements and endomorphisms of Hilbert modules and \(C^*\)-elliptic complexes. Zbl 0958.46031
Troitsky, Evgenii V.
3
1995
The Hirzebruch operator on piecewise linear manifolds and highest signatures. Zbl 0824.57019
Troitskij, E. V.
1
1993
Lefschetz numbers of \(C^*\)-complexes. Zbl 0768.46040
Troitskij, E. V.
2
1991
The index of equivariant elliptic operators over \(C^*\)-algebras. Zbl 0656.46043
Troitsky, E. V.
5
1987
The equivariant index of C *-elliptic operators. Zbl 0641.46047
Troitskij, E. V.
1
1987
all top 5

Cited by 124 Authors

21 Troitskiĭ, Evgeniĭ Vadimovich
14 Fel’shtyn, Alexander
8 Nasybullov, Timur R.
6 Moslehian, Mohammad Sal
5 Gonçalves, Daciberg Lima
5 Krýsl, Svatopluk
4 Dekimpe, Karel
4 Manuĭlov, Vladimir Markovich
4 Nistor, Victor
4 Pavlov, Alexander A.
4 Vasselli, Ezio
3 Frank, Michael
3 Gogić, Ilja
3 Xu, Qingxiang
2 Arambašić, Ljiljana
2 Ay, Serdar
2 Cerreia-Vioglio, Simone
2 Dor-On, Adam
2 Elliott, George A.
2 Gheondea, Aurelian
2 Ivković, Stefan
2 Leichtnam, Eric
2 Maccheroni, Fabio
2 Marinacci, Massimo
2 Nawata, Norio
2 Rosenberg, Jonathan Micah
2 Sharifi, Kamran
2 Tertooy, Sam
2 Watatani, Yasuo
2 Wong, Peter N.-S.
2 Zietek, Malwina
1 Aghasizadeh, T.
1 Alekseev, Vadim
1 Amini, Massoud
1 Bardakov, Valeriĭ Georgievich
1 Benameur, Moulay-Tahar
1 Blanchard, Etienne F.
1 Bogopolski, Oleg
1 Cecchini, Simone
1 Clare, Pierre
1 Courtney, Dennis
1 Crisp, Tyrone
1 Deeley, Robin J.
1 Deré, Jonas
1 Emerson, Heath
1 Eskandari, Rasoul
1 Fraĭman, Mikhaĭl Igor’evich
1 Gerasimova, M. A.
1 Ghahramani, Hoger
1 Ghobadzadeh, Fatemeh
1 Goffeng, Magnus
1 Gordeev, Nikolai L.
1 Gorokhovsky, Alexander
1 Graff, Grzegorz
1 Guterman, Alexander Emilevich
1 Hejazian, Shirin
1 Helmer, Leonid
1 Heunen, Chris
1 Higson, Nigel
1 Hofmann, Karl Heinrich
1 Jezierski, Jerzy
1 Kaad, Jens
1 Kaiser, Tom
1 Kakariadis, Evgenios T. A.
1 Kawamura, Katsunori
1 Keckić, Dragoljub J.
1 Koban, Nic
1 Kunyavskiĭ, Boris Èmmanuilovich
1 Kuzma, Bojan
1 Kyed, David
1 Lazović, Zlatko
1 Ledrappier, François
1 Lee, Jong Bum
1 Leonov, Yu. G.
1 Lesch, Matthias
1 Luchnikov, N.
1 Luo, Wei
1 Magiatis, Charalampos
1 Markiewicz, Daniel
1 Martino, Armando
1 Mathai, Varghese
1 Melrose, Richard Burt
1 Mesland, Bram
1 Meyer, Ralf
1 Mishchenko, Aleksandr Sergeevich
1 Monthubert, Bertrand
1 Mubeena, T.
1 Muhly, Paul Scott
1 Naik, Tushar Kanta
1 Najati, Abbas
1 Nanda, Neha
1 Neshchadim, Mikhail Vladimirovich
1 Pellonpää, Juha-Pekka
1 Pengitore, Mark
1 Penninckx, Pieter
1 Perez, Joe J.
1 Piazza, Paolo
1 Plotkin, Eugene B.
1 Pourgholamhossein, Mahmood
1 Puttkamer, Timm von
...and 24 more Authors
all top 5

Cited in 55 Serials

9 Journal of Mathematical Analysis and Applications
9 Journal of Functional Analysis
7 Russian Journal of Mathematical Physics
6 Journal of Mathematical Sciences (New York)
5 Transactions of the American Mathematical Society
4 Topology and its Applications
4 Linear Algebra and its Applications
3 Communications in Algebra
3 Advances in Mathematics
3 Geometriae Dedicata
3 Journal of Algebra
3 Positivity
3 Journal of Algebra and its Applications
2 Communications in Mathematical Physics
2 Linear and Multilinear Algebra
2 Journal of Geometry and Physics
2 Algebra and Logic
2 Functional Analysis and its Applications
2 Annals of Global Analysis and Geometry
2 International Journal of Mathematics
2 Expositiones Mathematicae
2 Journal of Group Theory
2 Banach Journal of Mathematical Analysis
2 Annals of Functional Analysis
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Integral Equations and Operator Theory
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 \(K\)-Theory
1 International Journal of Algebra and Computation
1 Differential Geometry and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Topological Methods in Nonlinear Analysis
1 Transformation Groups
1 Geometry & Topology
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Journal of Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 Groups, Geometry, and Dynamics
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 Journal of \(K\)-Theory

Citations by Year