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arXiv · 2305.18754

A note on the weak tracial Rokhlin property for finite group actions on simple unital C*-algebras

Xiaochun Fang·Zhongli Wang
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Abstract

In this paper, we show that one of the conditions in the definition of weak tracial Rokhlin property for finite group actions on simple unital C*-algebras can be replaced by a seemingly weaker condition, or a seemingly stronger condition. As a corollary, this condition is redundant whenever the C*-algebra is not purely infinite. We also give a sufficient condition for the weak tracial Rokhlin property for finite group actions on simple unital C*-algebras to imply the tracial Rokhlin property.

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Xiaochun Fang, Zhongli Wang. 2023-05-30. A note on the weak tracial Rokhlin property for finite group actions on simple unital C*-algebras. https://arxiv.org/abs/2305.18754

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