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# 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 Publication Published Mathematics Q Science > QA Mathematics Theta Foundation 0379-4024 EPSRC 19 Mar 2016 23:40 http://orca.cf.ac.uk/id/eprint/60270

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