Dadarlat, Marius and Pennig, Ulrich  ORCID: https://orcid.org/0000-0001-5441-6130
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: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0022-1236 |
| Date of First Compliant Deposit: | 20 February 2017 |
| Date of Acceptance: | 11 February 2017 |
| Last Modified: | 17 Nov 2024 19:45 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/98360 |
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