Homotopical algebra for C*-algebras

Uuye, Otgonbayar 2013. Homotopical algebra for C*-algebras. Journal of Noncommutative Geometry 7 (4) , pp. 981-1006. 10.4171/JNCG/141

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Abstract

The category of fibrant objects is a convenient framework to do homotopy theory, introduced and developed by Ken Brown. In this paper, we apply it to the category of C*-algebras. In particular, we get a unified treatment of (ordinary) homotopy theory for C ∗ -algebras, KK-theory and E-theory, since all of these can be expressed as the homotopy theory of a category of fibrant objects.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Category of fibrant objects; abstract homotopy theory; C*-algebras; KK-theory; K-theory.
Publisher:	European Mathematical Society
ISSN:	1661-6952
Funders:	EPSRC
Last Modified:	19 Mar 2016 23:40
URI:	https://orca.cardiff.ac.uk/id/eprint/60269

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