Strongly self-absorbing property for inclusions of $C^*$-algebras with a finite Watatani index

Details Strongly self-absorbing property for inclusions of $C^*$-algebras with a finite Watatani index Strongly self-absorbing property for inclusions of $C^*$-algebras with a finite Watatani index

2010-02-23

arxiv.org/abs/1002.4233v1

Mathematics

Operator Algebras

Scientific paper

Let $P \subset A$ be a inclusion of unital C*-algebras and $E\colon A \to P$ be a conditional expectation of index finite type. We introduce a Rokhlin property for $E$ and discuss about $\mathcal{D}$-absorbing proeprty, where $\mathcal{D}$ is a separable, unital, strongly self-absorbing C*-algebra. In this paper we consider permanent properties for strongly self-absorbing property under inclusions of unital C*-algebras with a finite Watatani index.

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