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math.OA2024
Uniform property and finite dimensional tracial boundaries
Samuel Evington, Christopher Schafhauser
We prove that a C-algebra has uniform property if the set of extremal tracial states, , is a non-empty compact space of finite covering dimension and…
math.OA2024
Tracially Complete C*-Algebras
José R. Carrión, José R. Carrión, Jorge Castillejos +5
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…