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math.OA2023
Inclusions of real rank zero
James Gabe, Robert Neagu
We introduce a notion of real rank zero for inclusions of C-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description o…
math.OA2023
Tracially Complete C*-Algebras
José R. Carrión, Jorge Castillejos, Samuel Evington +4
We introduce a new class of operator algebras -- tracially complete C*-algebras -- as a vehicle for transferring ideas and results between C*-algebras and their tracial von Neumann…
math.OA2023
Extensions of C*-algebras
James Gabe, Huaxin Lin, Ping Wong Ng
Let be a separable amenable -algebra and a non-unital and -unital simple -algebra with continuous scale ( need not be stable). We classify, up to unitary eq…