On embeddings of full amalgamated free product C-algebras

Authors:
Scott Armstrong, Ken Dykema, Ruy Exel and Hanfeng Li

Translated by:

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2019-2030

MSC (2000):
Primary 46L09

Published electronically:
January 27, 2004

MathSciNet review:
2053974

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Abstract | References | Similar Articles | Additional Information

Abstract: We examine the question of when the -homomorphism of full amalgamated free product C-algebras, arising from compatible inclusions of C-algebras , and , is an embedding. Results giving sufficient conditions for to be injective, as well as classes of examples where fails to be injective, are obtained. As an application, we give necessary and sufficient conditions for the full amalgamated free product of finite-dimensional C-algebras to be residually finite dimensional.

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Additional Information

**Scott Armstrong**

Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720

Email:
sarm@math.berkeley.edu

**Ken Dykema**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843–3368

Email:
Ken.Dykema@math.tamu.edu

**Ruy Exel**

Affiliation:
Departamento de Matematica, Universidade Federal de Santa Catarina, 88040-900 Florianopolis SC, Brazil

Email:
exel@mtm.ufsc.br

**Hanfeng Li**

Affiliation:
Department of Mathematics, University of Toronto, Toronto ON M5S 3G3, Canada

Email:
hli@fields.toronto.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-04-07370-8

Received by editor(s):
March 18, 2003

Published electronically:
January 27, 2004

Communicated by:
David R. Larson

Article copyright:
© Copyright 2004
American Mathematical Society