Troitskii, Evgenij Vadimovich

Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 20
Presentations: 5

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This page:2364
Abstract pages:4325
Full texts:2489
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 13.02.1961
Keywords: index of elliptic operator, $C^*$-algebra, $C^*$-Hilbert module, dynamical system, conditional expectation, irreducible representation, Reidemeister number.
UDC: 517.98, 512.7, 517.986


Noncommutative Geometry, Algebraic and Differential Topology, Functional Analysis, $K$-theory of $C^*$-algebras, index theory of elliptic operators, Noncommutative Harmonic Analysis, Group Theory.

Main publications:
  1. Felshtyn A., Troitsky E., “Twisted Burnside-Frobenius theory for discrete groups”, J. Reine Angew. Math. (Crelle's journal), 613 (2007), 193–210
  2. Pavlov A.A., Troitsky E.V., “A $C^*$-analogue of Kazhdan's property (T)”, Adv. in Math., 216 (2007), 75–88
  3. Manuilov V.M., Troitsky E.V., Hilbert $C^*$-modules, AMS, Providence, RI, 2005
  4. Nistor V., Troitsky E., “An index for gauge-invariant operators and the Dixmier-Douady invariant”, Trans. Amer. Math. Soc., 356:1 (2004), 185–218
  5. Solovyov Yu.P., Troitsky E.V., $C^*$-algebras and elliptic operators in differential topology, AMS, Providence, RI, 2000
List of publications on Google Scholar

Publications in Math-Net.Ru
1. E. V. Troitskii, D. V. Fufaev, “Compact Operators and Uniform Structures in Hilbert $C^*$-Modules”, Funktsional. Anal. i Prilozhen., 54:4 (2020),  74–84  mathnet  mathscinet; Funct. Anal. Appl., 54:4 (2020), 287–294  isi  scopus
2. E. V. Troitskii, “Two examples related to the twisted Burnside–Frobenius theory for infinitely generated groups”, Fundam. Prikl. Mat., 21:5 (2016),  219–227  mathnet
3. A. A. Pavlov, E. V. Troitskii, “Property (T) for topological groups and $C^*$-algebras”, Fundam. Prikl. Mat., 13:8 (2007),  171–192  mathnet  mathscinet  zmath  elib; J. Math. Sci., 159:6 (2009), 863–878  scopus
4. E. V. Troitskii, “Noncommutative Riesz Theorem and Weak Burnside Type Theorem on Twisted Conjugacy”, Funktsional. Anal. i Prilozhen., 40:2 (2006),  44–54  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:2 (2006), 117–125  isi  scopus
5. E. V. Troitskii, “Thom isomorphism in the “twice” equivariant $K$-theory of $C^*$-fibrations”, Zap. Nauchn. Sem. POMI, 266 (2000),  245–253  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 113:5 (2003), 683–688
6. E. V. Troitskii, “Actions of compact groups on algebras, the $C^*$-index theorem, and families”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 68 (1999),  129–188  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 105:2 (2001), 1884–1923
7. E. V. Troitskii, “Functionals on $l_2(A)$, Kuiper and Dixmier–Douady Type Theorems for $C^*$-Hilbert Modules”, Trudy MIAN, 225 (1999),  362–380  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 225 (1999), 344–362
8. V. M. Manuilov, E. V. Troitskii, M. Frank, “Actions of groups and conditional expectations of finite index”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, 2,  30–34  mathnet  mathscinet  zmath
9. E. V. Troitskii, M. Frank, “Lefschetz Numbers and Geometry of Operators in $W^*$-Modules”, Funktsional. Anal. i Prilozhen., 30:4 (1996),  45–57  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:4 (1996), 257–266  isi
10. E. V. Troitskii, “An Averaging Theorem in $C^*$-Hilbert Modules and Operators without Adjoint”, Funktsional. Anal. i Prilozhen., 28:3 (1994),  88–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:3 (1994), 220–223  isi
11. E. V. Troitskii, “The Hirzebruch operator on piecewise linear manifolds and highest signatures”, Uspekhi Mat. Nauk, 48:1(289) (1993),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:1 (1993), 197–198  isi
12. E. V. Troitskii, “Traces, $C^*$-elliptic complexes, and higher-dimension even cyclic homology”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, 5,  36–39  mathnet  mathscinet  zmath
13. E. V. Troitskii, “An exact formula for the index of an equivariant $C^*$-elliptic operator”, Trudy Mat. Inst. Steklov., 193 (1992),  178–182  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 193 (1993), 197–201
14. E. V. Troitskii, “Exact $K$-cohomological $C^*$-index formula. II. The index theorem and its applications”, Uspekhi Mat. Nauk, 44:1(265) (1989),  213–214  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:1 (1989), 259–260  isi
15. E. V. Troitskii, “An exact $K$-cohomology $C^*$-index formula. I. Thom isomorphism and topological index”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, 2,  83–85  mathnet  mathscinet  zmath
16. E. V. Troitskii, “Contractibility of the full general linear group of the $l_2(A)$”, Funktsional. Anal. i Prilozhen., 20:4 (1986),  58–64  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:4 (1986), 301–307
17. E. V. Troitskii, “The equivariant index of $C^*$-elliptic operators”, Izv. Akad. Nauk SSSR Ser. Mat., 50:4 (1986),  849–865  mathnet  mathscinet  zmath; Math. USSR-Izv., 29:1 (1987), 207–224
18. E. V. Troitskii, “The index theorem for equivariant $C^*$-elliptic operators”, Dokl. Akad. Nauk SSSR, 282:5 (1985),  1059–1061  mathnet  mathscinet  zmath
19. E. V. Troitskii, “On the connection between complex and operator topological equivariant $K$-theories”, Uspekhi Mat. Nauk, 40:4(244) (1985),  227–228  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:4 (1985), 243–244  isi
20. E. V. Troitskii, “Classifying spaces for a $K$-functor connected with a $C^*$-algebra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, 1,  96–98  mathnet  mathscinet  zmath

21. V. V. Belokurov, A. A. Egorov, A. S. Mishchenko, F. Yu. Popelenskii, V. A. Sadovnichii, E. V. Troitskii, A. T. Fomenko, E. T. Shavgulidze, “Yurii Petrovich Solov'ev (obituary)”, Uspekhi Mat. Nauk, 59:5(359) (2004),  135–140  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:5 (2004), 941–947  isi
22. A. A. Bolibrukh, A. A. Irmatov, M. I. Zelikin, O. B. Lupanov, V. M. Maynulov, E. F. Mishchenko, M. M. Postnikov, Yu. P. Solov'ev, E. V. Troitskii, “Aleksandr Sergeevich Mishchenko (on his 60th birthday)”, Uspekhi Mat. Nauk, 56:6(342) (2001),  167–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:6 (2001), 1187–1191  isi
23. A. A. Irmatov, O. B. Lupanov, V. P. Maslov, V. M. Manuilov, A. A. Mikhalev, V. A. Sadovnichii, Yu. P. Solov'ev, E. V. Troitskii, A. T. Fomenko, “Aleksandr Sergeevitch Mischenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, 5,  67–69  mathnet

Presentations in Math-Net.Ru
1. Geometric essence of “compact” operators on Hilbert $C^*$-modules
E. V. Troitskii
Algebras in Analysis
April 5, 2019 18:05
2. Классы Райдемайстера: алгебра, геометрия и анализ
E. V. Troitskii
Meetings of the St. Petersburg Mathematical Society
December 13, 2011 18:00
3. Algebra, geometry and analysis connected with Reidemeister classes
E. V. Troitskii
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics
October 10, 2011 18:30
4. От теоремы Атьи–Зингера к крученой $K$-теории
E. V. Troitskii
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 23, 2009 11:00
5. Классы Райдемайстера: алгебра, геометрия и анализ
E. V. Troitskii
Seminar by Algebra Department
May 20, 2008 15:00

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