Speciality: 01.01.04 (Geometry and topology)
Birth date: 13.02.1961
E-mail:
Website: https://mech.math.msu.su/~troitsky https://istina.msu.ru/profile/e.v.troitsky
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

Subject:

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. Troitsky E., “Geometric essence of “compact” operators on Hilbert C*-modules”, Journal of Mathematical Analysis and Applications, 485 (2020), 123842
2. Felshtyn A., Troitsky E., “Twisted Burnside-Frobenius theory for discrete groups”, J. Reine Angew. Math. (Crelle's journal), 613 (2007), 193–210
3. Pavlov A.A., Troitsky E.V., “A $C^*$-analogue of Kazhdan's property (T)”, Adv. in Math., 216 (2007), 75–88
4. Manuilov V.M., Troitsky E.V., Hilbert $C^*$-modules, AMS, Providence, RI, 2005
5. Nistor V., Troitsky E., “An index for gauge-invariant operators and the Dixmier-Douady invariant”, Trans. Amer. Math. Soc., 356:1 (2004), 185–218

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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• ISTINA

Organisations:

• Moscow Center for Fundamental and Applied Mathematics
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
• Moscow Mathematical Society