3 papers
math.OA2026
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.OA2026
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…
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…