Edit Profile Troitskiĭ, Evgeniĭ Vadimovich Compute Distance To: Compute Author ID: troitskii.evgenii-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 all top 5 Co-Authors 33 single-authored 12 Fel’shtyn, Alexander 7 Manuĭlov, Vladimir Markovich 5 Frank, Michael 3 Mishchenko, Aleksandr Sergeevich 3 Nistor, Victor 3 Pavlov, Alexander A. 3 Solov’ëv, Yuriĭ Petrovich 1 Bojarski, Bogdan 1 Bolibrukh, Andreĭ Andreevich 1 Burghelea, Dan 1 Indukaev, Fedor 1 Irmatov, Anwar A. 1 Leonov, Yu. G. 1 Luchnikov, N. 1 Lupanov, Oleg Borisovich 1 Melrose, Richard Burt 1 Mishchenko, Evgeniĭ Frolovich 1 Popelenskii, Fedor Yu. 1 Postnikov, Mikhail Mikhaĭlovich 1 Vershik, Anatoliĭ Moiseevich 1 Weber, Andrzej 1 Zelikin, Mikhail Il’ich 1 Zietek, Malwina all top 5 Serials 7 Russian Journal of Mathematical Physics 7 Journal of Mathematical Sciences (New York) 4 Moscow University Mathematics Bulletin 4 Russian Mathematical Surveys 4 Functional Analysis and its Applications 2 Journal für die Reine und Angewandte Mathematik 2 Translations of Mathematical Monographs 2 Journal of \(K\)-Theory 2 Trends in Mathematics 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Advances in Mathematics 1 Geometriae Dedicata 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Zapiski Nauchnykh Seminarov POMI 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Journal of Group Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 42 Functional analysis (46-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Group theory and generalizations (20-XX) 13 Algebraic topology (55-XX) 13 Manifolds and cell complexes (57-XX) 10 \(K\)-theory (19-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Topological groups, Lie groups (22-XX) 9 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications 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 1074.46001Manuilov, V. M.; Troitsky, E. V. 39 2005 Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij 20 2008 Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031Fel’shtyn, Alexander; Troitsky, Evgenij 19 2007 Aspects of the property \(R_\infty\). Zbl 1345.20038Fel’shtyn, Alexander; Troitsky, Evgenij 14 2015 Hilbert \(C^*\) and \(W^*\)-modules and their morphisms. Zbl 0968.46041Manuilov, V. M.; Troitsky, E. V. 14 2000 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly 12 2006 Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003Fel’shtyn, Alexander; Troitsky, Evgenij 9 2008 An index for gauge-invariant operators and the Dixmier-Douady invariant. Zbl 1030.46095Nistor, Victor; Troitsky, Evgenij 9 2004 \(C^*\)-algebras and elliptic operators in differential topology. Transl. from the Russian by E. V. Troitsky. Zbl 0958.46038Solovyov, Yu. P.; Troitsky, E. V. 9 2001 A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036Fel’shtyn, Alexander; Troitsky, Evgenij 8 2006 Quantization of branched coverings. Zbl 1254.46064Pavlov, A. A.; Troitskii, E. V. 7 2011 Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy. Zbl 1149.43004Troitsky, E. V. 7 2006 On conditional expectations arising from group actions. Zbl 0903.46064Frank, M.; Manuilov, V. M.; Troitsky, E. V. 6 1997 Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112Fel’shtyn, A. L.; Troitsky, E. V. 5 2018 Reidemeister classes and twisted inner representations. Zbl 1346.20036Fel’shtyn, A.; Luchnikov, N.; Troitsky, E. 5 2015 Hilbert \(C^*\)-modules from group actions: beyond the finite orbits case. Zbl 1210.46044Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij 5 2010 The index of equivariant elliptic operators over \(C^*\)-algebras. Zbl 0656.46043Troitsky, E. V. 5 1987 Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij 4 2008 Discrete groups actions and corresponding modules. Zbl 1113.46058Troitsky, E. V. 4 2003 Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families. Zbl 1318.19008Nistor, V.; Troitsky, E. 3 2015 The Thom isomorphism in gauge-equivariant \(K\)-theory. Zbl 1139.58016Nistor, Victor; Troitsky, Evgenij 3 2006 Orthogonal complements and endomorphisms of Hilbert modules and \(C^*\)-elliptic complexes. Zbl 0958.46031Troitsky, Evgenii V. 3 1995 Reidemeister classes in lamplighter-type groups. Zbl 07098071Troitsky, Evgenij 2 2019 A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras. Zbl 1228.46053Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij 2 2010 A \(C^{*}\)-analogue of Kazhdan’s property (T). Zbl 1130.46036Pavlov, A. A.; Troitsky, E. V. 2 2007 ‘Twice’ equivariant \(C^*\)-index theorem and the index theorem for families. Zbl 1013.46059Troitsky, Evgenij V. 2 2001 Lefschetz numbers and geometry of operators in \(W^*\)-modules. Zbl 0922.58081Frank, M.; Troitskij, E. V. 2 1996 Lefschetz numbers of \(C^*\)-complexes. Zbl 0768.46040Troitskij, E. V. 2 1991 Reidemeister classes in some weakly branch groups. Zbl 07073127Troitsky, E. V. 1 2019 Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems. Zbl 1415.46038Troitskii, E. 1 2018 Property (T) for topological groups and \(C^*\)-algebras. Zbl 1188.46032Pavlov, A.; Troitsky, E. 1 2009 Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038Fel’shtyn, Alexander; Troitsky, Evgenij 1 2008 Conditional expectations of finite index and properties of modules arising from group actions. Zbl 1086.46040Troitsky, E. V. 1 2004 Geometry and topology of operators on Hilbert \(C^*\)-modules. Zbl 0959.46043Troitsky, E. V. 1 2000 Functionals on \(\ell_2(A)\), Kuiper and Dixmier-Douady type theorems for \(C^*\)-Hilbert modules. Zbl 0987.46048Troitskij, E. V. 1 1999 The Hirzebruch operator on piecewise linear manifolds and highest signatures. Zbl 0824.57019Troitskij, E. V. 1 1993 The equivariant index of C *-elliptic operators. Zbl 0641.46047Troitskij, E. V. 1 1987 Reidemeister classes in lamplighter-type groups. Zbl 07098071Troitsky, Evgenij 2 2019 Reidemeister classes in some weakly branch groups. Zbl 07073127Troitsky, E. V. 1 2019 Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112Fel’shtyn, A. L.; Troitsky, E. V. 5 2018 Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems. Zbl 1415.46038Troitskii, E. 1 2018 Aspects of the property \(R_\infty\). Zbl 1345.20038Fel’shtyn, Alexander; Troitsky, Evgenij 14 2015 Reidemeister classes and twisted inner representations. Zbl 1346.20036Fel’shtyn, A.; Luchnikov, N.; Troitsky, E. 5 2015 Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families. Zbl 1318.19008Nistor, V.; Troitsky, E. 3 2015 Quantization of branched coverings. Zbl 1254.46064Pavlov, A. A.; Troitskii, E. V. 7 2011 Hilbert \(C^*\)-modules from group actions: beyond the finite orbits case. Zbl 1210.46044Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij 5 2010 A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras. Zbl 1228.46053Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij 2 2010 Property (T) for topological groups and \(C^*\)-algebras. Zbl 1188.46032Pavlov, A.; Troitsky, E. 1 2009 Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij 20 2008 Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003Fel’shtyn, Alexander; Troitsky, Evgenij 9 2008 Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij 4 2008 Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038Fel’shtyn, Alexander; Troitsky, Evgenij 1 2008 Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031Fel’shtyn, Alexander; Troitsky, Evgenij 19 2007 A \(C^{*}\)-analogue of Kazhdan’s property (T). Zbl 1130.46036Pavlov, A. A.; Troitsky, E. V. 2 2007 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly 12 2006 A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036Fel’shtyn, Alexander; Troitsky, Evgenij 8 2006 Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy. Zbl 1149.43004Troitsky, E. V. 7 2006 The Thom isomorphism in gauge-equivariant \(K\)-theory. Zbl 1139.58016Nistor, Victor; Troitsky, Evgenij 3 2006 Hilbert \(C^*\)-modules. Translated from the Russian by the authors. Zbl 1074.46001Manuilov, V. M.; Troitsky, E. V. 39 2005 An index for gauge-invariant operators and the Dixmier-Douady invariant. Zbl 1030.46095Nistor, Victor; Troitsky, Evgenij 9 2004 Conditional expectations of finite index and properties of modules arising from group actions. Zbl 1086.46040Troitsky, E. V. 1 2004 Discrete groups actions and corresponding modules. Zbl 1113.46058Troitsky, E. V. 4 2003 \(C^*\)-algebras and elliptic operators in differential topology. Transl. from the Russian by E. V. Troitsky. Zbl 0958.46038Solovyov, Yu. P.; Troitsky, E. V. 9 2001 ‘Twice’ equivariant \(C^*\)-index theorem and the index theorem for families. Zbl 1013.46059Troitsky, Evgenij V. 2 2001 Hilbert \(C^*\) and \(W^*\)-modules and their morphisms. Zbl 0968.46041Manuilov, V. M.; Troitsky, E. V. 14 2000 Geometry and topology of operators on Hilbert \(C^*\)-modules. Zbl 0959.46043Troitsky, E. V. 1 2000 Functionals on \(\ell_2(A)\), Kuiper and Dixmier-Douady type theorems for \(C^*\)-Hilbert modules. Zbl 0987.46048Troitskij, E. V. 1 1999 On conditional expectations arising from group actions. Zbl 0903.46064Frank, M.; Manuilov, V. M.; Troitsky, E. V. 6 1997 Lefschetz numbers and geometry of operators in \(W^*\)-modules. Zbl 0922.58081Frank, M.; Troitskij, E. V. 2 1996 Orthogonal complements and endomorphisms of Hilbert modules and \(C^*\)-elliptic complexes. Zbl 0958.46031Troitsky, Evgenii V. 3 1995 The Hirzebruch operator on piecewise linear manifolds and highest signatures. Zbl 0824.57019Troitskij, E. V. 1 1993 Lefschetz numbers of \(C^*\)-complexes. Zbl 0768.46040Troitskij, E. V. 2 1991 The index of equivariant elliptic operators over \(C^*\)-algebras. Zbl 0656.46043Troitsky, E. V. 5 1987 The equivariant index of C *-elliptic operators. Zbl 0641.46047Troitskij, E. V. 1 1987 all cited Publications top 5 cited Publications 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 all top 5 Cited in 27 Fields 69 Functional analysis (46-XX) 38 Group theory and generalizations (20-XX) 27 Operator theory (47-XX) 21 Algebraic topology (55-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 10 \(K\)-theory (19-XX) 9 Manifolds and cell complexes (57-XX) 6 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 General topology (54-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year