paper

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

arXiv:math/0602122

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.

20 pages, to appear in J. Operator Theory

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