Dadarlat, Marius and Pennig, Ulrich
2017.
Deformations of nilpotent groups and homotopy symmetric C*-algebras.
Mathematische Annalen
367
, pp. 121-134.
10.1007/s00208-016-1379-0
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Abstract
The homotopy symmetric C*-algebras are those separable C*-algebras for which one can unsuspend in E-theory. We find a new simple condition that characterizes homotopy symmetric nuclear C*-algebras and use it to show that the property of being homotopy symmetric passes to nuclear C*-subalgebras and it has a number of other significant permanence properties. As an application, we show that if I(G) is the kernel of the trivial representation for a countable discrete torsion free nilpotent group G, then I(G) is homotopy symmetric and hence the Kasparov group KK(I(G), B) can be realized as the homotopy classes of asymptotic morphisms [[I(G),B⊗K]] for any separable C*-algebra B.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Springer |
ISSN: | 0025-5831 |
Date of First Compliant Deposit: | 2 December 2016 |
Last Modified: | 18 Jan 2021 19:21 |
URI: | http://orca.cf.ac.uk/id/eprint/89462 |
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- Deformations of nilpotent groups and homotopy symmetric C*-algebras. (deposited 21 Apr 2016 08:57) [Currently Displayed]
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