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Deformations of wreath products

Dadarlat, Marius, Pennig, Ulrich and Schneider, Andrew 2017. Deformations of wreath products. Bulletin of the London Mathematical Society 49 (1) , pp. 23-32. 10.1112/blms.12008

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Connectivity is a homotopy invariant property of a separable C∗-algebra A, which has three important consequences: absence of nontrivial projections, quasidiagonality and realization of the Kasparov group KK(A, B) as homotopy classes of asymptotic morphisms from A to B ⊗ K if A is nuclear. Here we give a new characterization of connectivity for separable exact C*-algebras and use this characterization to show that the class of discrete countable amenable groups whose augmentation ideals are connective is closed under generalized wreath products. In a related circle of ideas, we give a result on quasidiagonality of reduced crossed-product C*-algebras associated to noncommutative Bernoulli actions

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: 46L80 (primary); 19K99 (secondary)
Publisher: London Mathematical Society
ISSN: 0024-6093
Date of First Compliant Deposit: 9 April 2019
Date of Acceptance: 2 September 2016
Last Modified: 11 Mar 2020 11:21

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