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## Unsuspended Connective $E$-Theory

### Abstract

We prove connective versions of results by Shulman [Shu10] and Dadarlat-Loring [DL94]. 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 $\bu$-equivalent if and only if they are asymptotic matrix homotopy equivalent.Comment: v1 9 pages; v2 minor change

Topics: Mathematics - K-Theory and Homology, Mathematics - Operator Algebras, 19L41 (Primary), 46L80, 46L85 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1104.3478