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Document Type

Article

Date of this Version

2011

Citation

Indiana University Mathematics Journal c , Vol. 60, No. 4 (2011)

Comments

2000 MATHEMATICS SUBJECT CLASSIFICATION: 46L09, 20M20.

Abstract

An amalgam of inverse semigroups [S,T,U] is full if U contains all of the idempotents of S and T. We show that for a full amalgam [S,T,U], C∗(S ∗U T) ≅ C∗(S) ∗C∗(U) C∗(T). Using this result, we describe certain amalgamated free products of C∗-algebras, including finite-dimensional C∗-algebras, the Toeplitz algebra, and the Toeplitz C∗-algebras of graphs.

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