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

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

2006-02-07

arxiv.org/abs/math/0602122v1

Mathematics

Operator Algebras

20 pages, to appear in J. Operator Theory

Scientific paper

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.

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