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

2006/02/07 by Kazunori Kodaka, K. Kodaka, Kodaka, K. +3 · 1 citation
Mathematics · #46L08 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L08

paper · pdf · doi:10.48550/arxiv.math/0602122

20 pages, to appear in J. Operator Theory

arxiv created 2006/02/07 · openalex publication_date 2006/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a unital C*-algebra. We shall introduce involutive A-A-equivalence bimodules and prove that any C*-algebra containing A with Watatani index 2 is constructed by an involutive A-A-equivalence bimodule.

Cited by

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

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