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arXiv · 2002.01405

On Kuiper type theorems for uniform Roe algebras

Vladimir Manuilov·Evgenij Troitsky
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Abstract

Generalizing the case of an infinite discrete metric space of finite diameter, we say that a discrete metric space $(X,d)$ is a Kuiper space, if the group of invertible elements of its uniform Roe algebra is norm-contractible. Various sufficient conditions on $(X,d)$ to be or not to be a Kuiper space are obtained.

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BibTeXRIS

Vladimir Manuilov, Evgenij Troitsky. 2020-02-04. On Kuiper type theorems for uniform Roe algebras. https://arxiv.org/abs/2002.01405

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