Journal of Operator Theory

Volume 71, Issue 1, Winter 2014 pp. 285-294.

Unsuspended connective

$E$ -theory

Authors: Otgonbayar Uuye
Author institution: School of Mathematics, Cardiff University, Cardiff, CF24 4AG, UK

Summary: 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.

DOI: http://dx.doi.org/10.7900/jot.2012mar05.1944
Keywords: noncommutative shape theory,

$K$ -theory,

$KK$ -theory,

$E$ -theory

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