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- W2893750706 abstract "Let A and B be C*-algebras whose quotients are all RFD, and let C be a central C*-subalgebra in both A and B. We prove that the full amalgamated free product of A and B over C is then RFD. This generalizes Korchagin's result that amalgamated free products of commutative C*-algebras are RFD. When applied to the case of a trivial amalgam, our methods recover the result of Exel-Loring for separable C*-algebras. As corollaries to our theorem, we give sufficient conditions for amalgamated free products of maximally almost periodic (MAP) groups to have RFD C*-algebras and hence to be MAP." @default.
- W2893750706 created "2018-10-05" @default.
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- W2893750706 date "2018-09-24" @default.
- W2893750706 modified "2023-09-27" @default.
- W2893750706 title "Free products with amalgamation over central C*-subalgebras" @default.
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