Corpus ID: 237562871

Simplicity and tracial weights on non-unital reduced crossed products

@inproceedings{Suzuki2021SimplicityAT,
title={Simplicity and tracial weights on non-unital reduced crossed products},
author={Yuhei Suzuki},
year={2021}
}
• Yuhei Suzuki
• Published 17 September 2021
• Mathematics
We extend theorems of Breuillard–Kalantar–Kennedy–Ozawa on unital reduced crossed products to the non-unital case under mild assumptions. As a result simplicity of C∗-algebras is stable under taking reduced crossed product over discrete C∗-simple groups, and a similar result for uniqueness of tracial weight. Interestingly, our analysis on tracial weights involves von Neumann algebra theory. Our generalizations have two applications. The first is to locally compact groups. We establish stability… Expand

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