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The admissible KMS bundles on classifiable C^*-algebras

2024/01/25 by Neagu, Robert
#46L05 #46L30 #46L35 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2401.14096

Abstract

Given any unital, finite, classifiable C^*-algebra A with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial states on A, we show that there exists a flow on A realising this simplex. Moreover, we show that given any unital UCT Kirchberg algebra A and any proper simplex bundle with empty fibre at zero, there exists a flow on A realising this simplex.

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