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arXiv · 0707.2220

A remark on invariants for C*-algebras of stable rank one

Alin Ciuperca·George A. Elliott
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Abstract

It is shown that, for a C*-algebra of stable rank one (i.e., in which the invertible elements are dense), two well-known isomorphism invariants, the Cuntz semigroup and the Thomsen semigroup, contain the same information. More precisely, these two invariants, viewed appropiately, determine each other in a natural way.

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Alin Ciuperca, George A. Elliott. 2007-09-21. A remark on invariants for C*-algebras of stable rank one. https://arxiv.org/abs/0707.2220

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