V. Manuilov

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20092026

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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 $X$ …