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In this note, we show that, assuming a positive solution to the Connes Embedding Problem (CEP), the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fa...
We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as ...
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
Abstract: We discuss quantum information theoretical concepts on von Neumann algebras and lift the smooth entropy formalism to the most general quantum setting. For the smooth min- and max-entropies w...
Abstract: Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We introduce the topology $t_c(M)$ on $E(M)$ generated by a center-valued norm and prove that it coincides wi...
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open even for singly-generated ...
We characterize the semicircular distribution by freeness of linear and qua-dratic forms in noncommutative random variables from tracial W-probability spaces with relaxed moment conditions.
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
We study factorization and dilation properties of Markov maps between von Neumann algebras equipped with normal faithful states, i.e., completely positive unital maps which preserve the given states...
In this note, we give complete descriptions of the structure of the monotone product of two von Neumann algebras and two $C^\ast$-algebras. We show that the monotone product of two simple von Neumann ...
In the present paper we prove that the mixing property of positive L1-contraction of finite von Neumann algebras implies the property of complete mixing.

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