Homotopies of constant Cuntz class
Operator Algebras
2022-03-09 v2
Abstract
Let 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 with a fixed Cuntz class is path connected. This result applies in particular to irrational rotation algebras and AF algebras.
Cite
@article{arxiv.2202.10428,
title = {Homotopies of constant Cuntz class},
author = {Andrew S. Toms},
journal= {arXiv preprint arXiv:2202.10428},
year = {2022}
}
Comments
10 pages, no figures, v2, minor corrections and acknowledgement added