K-stability of continuous C(X)-algebras
Operator Algebras
2020-05-11 v2
Abstract
A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. We study continuous -algebras, each of whose fibers are K-stable. We show that such an algebra is itself K-stable under the assumption that the underlying space is compact, metrizable, and of finite covering dimension.
Cite
@article{arxiv.1906.00033,
title = {K-stability of continuous C(X)-algebras},
author = {Apurva Seth and Prahlad Vaidyanathan},
journal= {arXiv preprint arXiv:1906.00033},
year = {2020}
}
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