E. Troitsky

activity

19952026

most citedGeometry of Reidemeister classes and twisted Burnside theorem

11 citations · 70 across the 23 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.OA2018

Geometric essence of "compact" operators on Hilbert $C^{*}$ -modules

Evgenij Troitsky

We introduce a uniform structure on any Hilbert $C^{*}$ -module $N$ and prove the following theorem: suppose, $F : M \to N$ is a bounded adjointable morphi…

math.GR2018★ 2 cited

Reidemeister classes in some weakly branch groups

Evgenij Troitsky

We prove that a saturated weakly branch group $G$ has the property $R_{\infty}$ (any automorphism $ϕ : G \to G$ has infinite Reidemeister number) in each of the following cases: 1) any…

math.GR2018★ 2 cited

New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory

Alexander Fel'shtyn, Evgenij Troitsky, Malwina Ziętek

We introduce new zeta functions related to an endomorphism $ϕ$ of a discrete group $Γ$ . They are of two types: counting numbers of fixed ( $ρ \sim ρ \circ ϕ^{n}$ ) irreducible representat…

Geometric essence of "compact" operators on Hilbert C∗-modules

Reidemeister classes in some weakly branch groups

New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory

Geometric essence of "compact" operators on Hilbert $C^{*}$ -modules