Deformations of wreath products

Dadarlat, Marius, Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 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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Abstract

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:	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:	25 Nov 2024 10:30
URI:	https://orca.cardiff.ac.uk/id/eprint/96597

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