Amenability for unitary groups of simple monotracial C*-algebras
Operator Algebras
2023-09-01 v2 Functional Analysis
Abstract
We prove the following two results. First, the isometry semigroup of a unital properly infinite nuclear C*-algebra is right amenable. Second, the unitary group of a unital simple monotracial C*-algebra whose tracial GNS representation is hyperfinite is skew-amenable in the weak topology. This answers in part a conjecture of Alekseev, Schmidt, and Thom and a question of Pestov.
Cite
@article{arxiv.2307.08267,
title = {Amenability for unitary groups of simple monotracial C*-algebras},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:2307.08267},
year = {2023}
}
Comments
8 pages; (v2) typos corrected and theorem numbering changed