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arXiv · 1404.1126

Homotopy classification of homogeneous projections in the corona algebra of a non-simple C*-algebra

Hyun Ho Lee
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Abstract

In this paper we consider certain proejctions in the corona algebra of $C(X)\otimes B$ associated to $(p_0, p_1, \dots, p_n)$ where $p_i: X_i \to \mt_s$ a continuous projection valued section to the multiplier algebra of a stable $C\sp*$-algebra $B$ for each i. Here $X_i$'s are closed intervals given by a partition $\{x_1, \dots, x_n\}$ on the interior of $X$ and adjacent sections differ by compacts at each partition point. Assuming a kind of homogeneity on the projection we characterize when two such projections are homotopy equivalent.

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Hyun Ho Lee. 2014-04-04. Homotopy classification of homogeneous projections in the corona algebra of a non-simple C*-algebra. https://doi.org/10.1016/j.jmaa.2018.01.044

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