The Picard groups of unital inclusions of unital C^*-algebras induced by involutive equivalence bimodules

2020/06/24 by Kazunori Kodaka, Kodaka, Kazunori
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Primary 46L05 #Secondary 46L08

paper · pdf · doi:10.48550/arxiv.2006.13487

openalex publication_date 2020/06/24 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/28

Abstract

Let A be a unital C^*-algebra and X an invulutive A-A-equivalence bimodule. Let A⊂ C_X be the unital inclusion of unital C^*-algebras induced by X. We suppose that A' ∩ C_X =C 1. We shall compute the Picard group of the unital inclusion A⊂ C_X.

Citations

• Involutive equivalence bimodules and inclusions of C*-algebras with Watatani index 2

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