The tracial Rokhlin property for an inclusion of unital C^*-algebras

2018/05/04 by Hyun Ho Lee, Lee, Hyun Ho, Hroyuki Osaka +1 · 1 citation
Mathematics · #46L35 #46L55 #47C15 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1805.01613

openalex publication_date 2018/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and study a notion of Rokhlin property for an inclusion of unital C^*-algebras which could have no projections like the Jiang-Su algebra. We also introduce a notion of approximate representability and show a duality between them. We demonstrate the importance of these notions by showing the permanence of the tracial Z-absorbingness and the strict comparison property.

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• Tracially sequentially-split ^*-homomorphisms between C^*-algebras II

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