Unsuspended connective $E$-theory

Uuye, Otgonbayar 2014. Unsuspended connective $E$-theory. Journal of Operator Theory 71 (1) , pp. 285-294. 10.7900/jot.2012mar05.1944

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Abstract

We develop an unsuspended version of connective $E$-theory and prove connective versions of results by D\u{a}d\u{a}rlat--Loring and Shulman. As a corollary, we see that two separable $C^*$-algebras of the form $C_0(X) \otimes A$, where $X$ is a based, connected, finite CW-complex and $A$ is a unital, properly infinite algebra, are connective $E$-theory equivalent if and only if they are asymptotic matrix homotopy equivalent.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Theta Foundation
ISSN:	0379-4024
Funders:	EPSRC
Last Modified:	19 Mar 2016 23:40
URI:	https://orca.cardiff.ac.uk/id/eprint/60270

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