The Rokhlin property for endomorphisms and strongly self-absorbing\n C*-algebras

2013/11/13 by Jonathan Brown, Brown, Jonathan, Ilan Hirshberg +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1311.3274

openalex publication_date 2013/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define a Rokhlin property for automorphisms of non-unital\nC*-algebras and for endomorphisms. We show that the crossed product of a\nC*-algebra by a Rokhlin automorphism preserves absorption of a strongly\nself-absorbing C*-algebra, and use this result to deduce that the same result\nholds for crossed products by endomorphisms in the sense of Stacey. This\ngeneralizes earlier results of the second named author and W. Winter.\n

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