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Connective C*-Algebras

Dadarlat, Marius and Pennig, Ulrich 2017. Connective C*-Algebras. Journal of Functional Analysis 272 (12) , pp. 4919-4943. 10.1016/j.jfa.2017.02.009

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Abstract

Connectivity is a homotopy invariant property of separable C*-algebras which has three notable consequences: absence of nontrivial projections, quasidiagonality and a more geometric realisation of KK-theory for nuclear C*-algebras using asymptotic morphisms. The purpose of this paper is to further explore the class of connective C*-algebras. We give new characterisations of connectivity for exact and for nuclear separable C*-algebras and show that an extension of connective separable nuclear C*-algebras is connective. We establish connectivity or lack of connectivity for C*-algebras associated to certain classes of groups: virtually abelian groups, linear connected nilpotent Lie groups and linear connected semisimple Lie groups.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Elsevier
ISSN: 0022-1236
Date of First Compliant Deposit: 20 February 2017
Date of Acceptance: 17 February 2017
Last Modified: 12 May 2018 05:25
URI: http://orca.cf.ac.uk/id/eprint/98360

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