Proceedings of the American Mathematical Society

Author(s): Scott Armstrong; Ken Dykema; Ruy Exel; Hanfeng Li
Journal: Proc. Amer. Math. Soc. 132 (2004), 2019-2030.
MSC (2000): Primary 46L09
Posted: January 27, 2004
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Abstract: We examine the question of when the

-homomorphism $\lambda: A*_D B\to \widetilde{A}*_ {\widetilde{D}}\widetilde{B}$ of full amalgamated free product C

-algebras, arising from compatible inclusions of C

-algebras $A\subseteq\widetilde{A}$ , $B\subseteq{\widetilde B}$ and $D\subseteq\widetilde{D}$ , is an embedding. Results giving sufficient conditions for $\lambda$ to be injective, as well as classes of examples where $\lambda$ 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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L09

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

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