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 -