Tracial Rokhlin property for actions of amenable groups on C* algebras
Abstract
Tracial Rokhlin property was introduced by Chris Phillips to study the structure of crossed product of actions on simple C*-algebras. It was originally defined for actions of finite groups and group of integers. Matui and Sato generalized it to actions of amenable groups. In this paper, we give a further generalization of Matui and Sato's definition. We shall show that many known results about tracial Rokhlin property could be generalized to actions of amenable groups under this definition. We also show that some natural examples has the (weak) tracial Rokhlin property.
Keywords
Cite
@article{arxiv.1410.8170,
title = {Tracial Rokhlin property for actions of amenable groups on C* algebras},
author = {Qingyun Wang},
journal= {arXiv preprint arXiv:1410.8170},
year = {2016}
}
Comments
Updated from an earlier version. Some of the results are improved. In particular, the results about "ST-tileable" groups are generalized to arbitrary countable discrete amenable groups. To appear in Rocky Mountain Journal of Mathematics