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math.OA2026
The MF property for amalgamated free products
Tatiana Shulman
A C*-algebra (or a group) is called MF (matricial field) if it admits finite dimensional approximate unitary representations which are approximately injective, where approximately…
math.OA2025
Decomposition theorems for unital graph C*-algebras
Guillaume Bellier, Tatiana Shulman
We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph…
math.OA2023
RFD property for groupoid C*-algebras of amenable groupoids and for crossed products by amenable actions
Tatiana Shulman, Adam Skalski
By Bekka's theorem the group C*-algebra of an amenable group is residually finite dimensional (RFD) if and only if is maximally almost periodic (MAP). We generalize this re…