We study embeddings of tracial $\mathrm {W}^* $-algebras into a ultraproduct of matrix
algebras through an amalgamation of free probabilistic and model-theoretic techniques …

We prove that every separable tracial von Neumann algebra embeds into a II 1 factor with
property (T) which can be taken to have trivial outer automorphism and fundamental groups …

We study embeddings of tracial $\mathrm {W}^* $-algebras into a ultraproduct of matrix
algebras through an amalgamation of free probabilistic and model-theoretic techniques …

We identify a large class of hyperbolic groups whose von Neumann algebras are not
strongly 1-bounded: Sela's hyperbolic towers over $ F_2 $ subgroups. We also show that …

We compare the algebras of the quantum automorphism group of finite-dimensional C-
algebra, which includes the quantum permutation group, where. We show that matrix …

We obtain a new proof of Shlyakhtenko's result which states that if G is a sofic, finitely
presented group with vanishing first2-Betti number, then LG/is strongly 1-bounded. Our proof …