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

Hyun Ho Lee

doi:10.1016/j.jmaa.2018.01.044

paper

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

arXiv:1404.1126 · doi:10.1016/j.jmaa.2018.01.044

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.

arXiv comment12pages. arXiv admin note: text overlap with arXiv:1305.5006

References in corpus (1)

On the classification of nuclear C*-algebras