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Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras

Published 9 Oct 2024 in math.OA and math.GR | (2410.06579v6)

Abstract: We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II$_1$ factors, is equivalent to the negation of Kazhdan's property (T).

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