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Generalized free wreath products. Abstract: Fima, Pierre

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I will talk about a joint work with Arthur Troupel. We develop a new approach on free wreath products, generalizing most of the previous constructions. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity and K-amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness and absence of Cartan subalgebra and we give a formula for Connes’ T-invariant. Finally, we give some explicit computations of K-theory groups for C*-algebras of generalized free wreath products.

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Attribution-NonCommercial-NoDerivatives 4.0 International