On embeddings of full amalgamated free product C*-algebras
Operator Algebras
2007-05-23 v3
Abstract
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.
Keywords
Cite
@article{arxiv.math/0210448,
title = {On embeddings of full amalgamated free product C*-algebras},
author = {Scott Armstrong and Ken Dykema and Ruy Exel and Hanfeng Li},
journal= {arXiv preprint arXiv:math/0210448},
year = {2007}
}
Comments
This is a second revision, including a significant expansion of both the sufficient conditions for embeddings of full free product C*-algebras and of the classes of examples that fail to yield embeddings