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math.LO2022
Games on AF-algebras
Ben De Bondt, Andrea Vaccaro, Boban Velickovic +1
We analyze -algebras, particularly AF-algebras, and their -groups in the context of the infinitary logic . Given two separable unital AF-…
math.LO2018
Voiculescu's Theorem for Nonseparable C*-algebras
Andrea Vaccaro
We prove that Voiculescu's noncommutative version of the Weyl-von Neumann theorem can be extended to all (not necessarily separable) unital, separably representable C*-algebras who…
math.LO2018
Embedding -algebras into the Calkin algebra
Ilijas Farah, Georgios Katsimpas, Andrea Vaccaro
Every -algebra, regardless of its density character, can be embedded into the Calkin algebra in a forcing extension of the universe obtained without collapsing any ca…