Simplicity and tracial weights on non-unital reduced crossed products
Yuhei Suzuki
Abstract: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 [Formula: see text]-algebras is stable under taking reduced crossed products over discrete [Formula: see text]-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… Show more
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