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arXiv · 2611.07556

Values of Rokhlin Dimension for Integer Actions

Prahlad Vaidyanathan
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Abstract

For an action of the integers on a C*-algebra, we show that the only possible values for the Rokhlin dimension (with commuting towers) are $0,1,2$ and $+\infty$. We study these values for certain classes of C*-algebras, and show that there is an automorphism of the Jiang--Su algebra with the property that its Rokhlin dimension with and without commuting towers are distinct.

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Prahlad Vaidyanathan. 2026-11-05. Values of Rokhlin Dimension for Integer Actions. https://arxiv.org/abs/2611.07556

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