4 papers
Twisted Burnside-Frobenius theory for discrete groups
Alexander Fel'shtyn, Evgenij Troitsky
For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the numbe…
The Thom isomorphism in gauge-equivariant K-theory
Victor Nistor, Evgenij Troitsky
In a previous paper we have introduced the gauge-equivariant K-theory group of a bundle endowed with a continuous action of a bundle of compact Lie groups. These groups are the nat…
An index for gauge-invariant operators and the Dixmier-Douady invariant
Victor Nistor, Evgenij Troitsky
Let $\GR \to B$ be a bundle of compact Lie groups acting on a fiber bundle . In this paper we introduce and study gauge-equivariant -theory groups $K_\GR^i(Y)$. These g…
Actions of compact groups, C*-index theorem, and families
Evgenij V. Troitsky
We prove the index theorem for elliptic operators acting on sections of bundles where fiber is equal to a projective module over a C*-algebra, in the situation of action of a compa…