On Kuiper type theorems for uniform Roe algebras
Operator Algebras
2020-02-05 v1 Functional Analysis
K-Theory and Homology
Metric Geometry
Abstract
Generalizing the case of an infinite discrete metric space of finite diameter, we say that a discrete metric space is a Kuiper space, if the group of invertible elements of its uniform Roe algebra is norm-contractible. Various sufficient conditions on to be or not to be a Kuiper space are obtained.
Cite
@article{arxiv.2002.01405,
title = {On Kuiper type theorems for uniform Roe algebras},
author = {Vladimir Manuilov and Evgenij Troitsky},
journal= {arXiv preprint arXiv:2002.01405},
year = {2020}
}
Comments
9 pages