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arXiv · 1408.2667

A characterization of semiprojectivity for subhomogeneous C*-algebras

Dominic Enders
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Abstract

We study semiprojective, subhomogeneous C*-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous C*-algebras: one in terms of their primitive ideal spaces and one by means of special direct limit structures over one-dimensional NCCW complexes. These results are obtained by working out several new permanence results for semiprojectivity, including a complete description of its behavior with respect to extensions by homogeneous C*-algebras.

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Dominic Enders. 2014-08-12. A characterization of semiprojectivity for subhomogeneous C*-algebras. https://arxiv.org/abs/1408.2667

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