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Simplicity Of Reduced Amalgamated Products of C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Kevin McClanahan
Kevin McClanahan*
Affiliation:
Department of Mathematics, University of Mississippi University, Mississippi 38677 U.S.A.
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Abstract

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We give sufficient conditions for the simplicity of reduced amalgamated products of C*-algebras. We show that in some situations a minimal projection in a unital C*-algebra A is minimal in a free product A *-cB. We show that in certain situations if a minimal projection in A were minimal in a particular reduced free product of A and B then the reduced free product would be a simple C*-algebra which has finite and infinite projections.

Keywords

46L0546L80
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 4 , 01 August 1994 , pp. 793 - 807
Copyright
Copyright © Canadian Mathematical Society 1994

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