V. Manuilov

activity

20092026

collaborators

5 papers

math.OA2026

A tautological continuous field of Roe bimodules

Vladimir Manuilov

We generalize the notion of a continuous field of C*-algebras to that of Hilbert C*-bimodules. Given a partially ordered set $P$ and a monotonically non-decreasing family of ternar…

math.KT2024

Mapping graph homology to $K$ -theory of Roe algebras

V. Manuilov

Given a graph $Γ$ , one may conside the set $X$ of its vertices as a metric space by assuming that all edges have length one. We consider two versions of homology theory of $Γ$ and…

math.OA2023

A continuous field of Roe algebras

V. Manuilov

Let $X$ be a metric measure space. A Delone subset $D \subset X$ is a uniformly discrete set coarsely equivalent to $X$ . We consider the space $D_{F}$ of controlled Delone su…

math.OA2023

An example of a continuous field of Roe algebras

V. Manuilov

The Roe algebra $C^{*} (X)$ is a non-commutative $C^{*}$ -algebra reflecting metric properties of a space $X$ , and it is interesting to understand relation between the Roe algebra of $X$ …

math.OA2009

Hilbert C*-modules from group actions: beyond the finite orbits case

M. Frank, V. Manuilov, E. Troitsky

Continuous actions of topological groups on compact Hausdorff spaces $X$ are investigated which induce almost periodic functions in the corresponding commutative C*-algebra. The un…

A tautological continuous field of Roe bimodules

Mapping graph homology to K-theory of Roe algebras

A continuous field of Roe algebras

An example of a continuous field of Roe algebras

Hilbert C*-modules from group actions: beyond the finite orbits case

Mapping graph homology to $K$ -theory of Roe algebras