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arXiv · 2202.10428

Homotopies of constant Cuntz class

Andrew S. Toms
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Abstract

Let $A$ be a unital simple separable exact C$^*$-algebra which is approximately divisible and of real rank zero. We prove that the set of positive elements in $A$ with a fixed Cuntz class is path connected. This result applies in particular to irrational rotation algebras and AF algebras.

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Andrew S. Toms. 2022-02-21. Homotopies of constant Cuntz class. https://arxiv.org/abs/2202.10428

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