TY - JOUR
T1 - On embeddings of full amalgamated free product c*-Algebras
AU - Armstrong, Scott
AU - Dykema, Ken
AU - Exel, Ruy
AU - Li, Hanfeng
PY - 2004/7
Y1 - 2004/7
N2 - We examine the question of when the *-homomorphism λ : A * D B → Ã * D̃ B̃ of full amalgamated free product C*-algebras, arising from compatible inclusions of C*-algebras A ⊆ Ã, B ⊆ B̃ and D ⊆ D̃, is an embedding. Results giving sufficient conditions for λ to be injective, as well as classes of examples where λ 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.
AB - We examine the question of when the *-homomorphism λ : A * D B → Ã * D̃ B̃ of full amalgamated free product C*-algebras, arising from compatible inclusions of C*-algebras A ⊆ Ã, B ⊆ B̃ and D ⊆ D̃, is an embedding. Results giving sufficient conditions for λ to be injective, as well as classes of examples where λ 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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U2 - 10.1090/S0002-9939-04-07370-8
DO - 10.1090/S0002-9939-04-07370-8
M3 - Article
AN - SCOPUS:2942635792
SN - 0002-9939
VL - 132
SP - 2019
EP - 2030
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 7
ER -