Amenable actions on ill-behaved simple C*-algebras
Operator Algebras
2025-03-03 v2 Group Theory
Abstract
By combining R{\o}rdam's construction and the author's previous construction, we provide the first examples of amenable actions of non-amenable groups on simple separable nuclear C*-algebras that are neither stably finite nor purely infinite. For free groups, we also provide unital examples. We arrange the actions so that the crossed products are still simple with both a finite and an infinite projection.
Keywords
Cite
@article{arxiv.2405.10191,
title = {Amenable actions on ill-behaved simple C*-algebras},
author = {Yuhei Suzuki},
journal= {arXiv preprint arXiv:2405.10191},
year = {2025}
}
Comments
22 pages, no mathematical changes but expositions and explanations greatly improved (following referee's comments). Final version, to appear in IMRN