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arXiv · 2207.11653

Rationally AF algebras and KMS states of Z-absorbing C*-algebras

George A. Elliott·Yasuhiko Sato
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Abstract

In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class of C*-algebras which we call rationally approximately finite dimensional (RAF). Using these, we show that for a given proper simplex bundle $(S, \pi)$ with a singleton ${\pi}^{-1}(\{0\})$ and a unital separable monotracial C*-algebra $A$ absorbing the Jiang-Su algebra tensorially (for instance, the irrational rotation algebra), there exists a flow on $A$ whose KMS-bundle is isomorphic to $(S, \pi)$.

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George A. Elliott, Yasuhiko Sato. 2022-07-24. Rationally AF algebras and KMS states of Z-absorbing C*-algebras. https://arxiv.org/abs/2207.11653

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