Titlebook: Operator Algebras and Applications; The Abel Symposium 2 Toke M. Carlsen,Nadia S. Larsen,Christian Skau Conference proceedings 2016 Springe

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,C?-Tensor Categories and Subfactors for Totally Disconnected Groups,has the Haagerup property or property?(T), and when . is weakly amenable. When . is compactly generated, we prove that . is essentially equivalent to the planar algebra associated by Jones and Burstein to a group acting on a locally finite bipartite graph. We then concretely realize . as the categor

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,C?-Algebras Associated with Algebraic Actions,algebraic endomorphisms of a compact abelian group—or, dually, of a discrete abelian group. In our survey we do not try to describe the entire scope of the methods and results obtained in the original papers, but we concentrate on the important thread coming from the action of the multiplicative sem

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,Semigroup C?-Algebras, have been studied for some time, but it was only recently that several new connections and results were discovered, triggered by particularly interesting examples from number theory and group theory. We explain the construction of semigroup C*-algebras, introduce the basic underlying algebraic obje

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