Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Deformations of wreath products

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

[img]
Preview
PDF - Accepted Post-Print Version
Download (312kB) | Preview

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: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: 46L80 (primary); 19K99 (secondary)
Publisher: Oxford University Press
ISSN: 0024-6093
Date of First Compliant Deposit: 9 April 2019
Date of Acceptance: 2 September 2016
Last Modified: 10 Jul 2017 01:20
URI: http://orca.cf.ac.uk/id/eprint/96597

Citation Data

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics