On embeddings of full amalgamated free product C*-algebras

Details On embeddings of full amalgamated free product C*-algebras On embeddings of full amalgamated free product C*-algebras

2002-10-29

arxiv.org/abs/math/0210448v3

Mathematics

Operator Algebras

This is a second revision, including a significant expansion of both the sufficient conditions for embeddings of full free pro

Scientific paper

We examine the question of when the *-homomorphism of full amalgamated free product C*-algebras \lambda: A *_D B --> A' *_{D'} B', arising from compatible inclusions of C*-algebras A in A', B in B' and D in D', is an embedding. Results giving sufficient conditions for \lambda to be injective, as well of classes of examples where \lambda fails to be injective, are obtained. As an application, we give necessary and sufficient condition for the full amalgamated free product of finite dimensional C*-algebras to be residually finite dimensional.

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