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arXiv · 1207.1909

The homotopy lifting theorem for semiprojective C*-algebras

Bruce Blackadar
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Abstract

We prove a complete analog of the Borsuk Homotopy Extension Theorem for arbitrary semiprojective C*-algebras. We also obtain some other results about semiprojective C*-algebras: a partial lifting theorem with specified quotient, a lifting result for homomorphisms close to a liftable homomorphism, and that sufficiently close homomorphisms from a semiprojective C*-algebra are homotopic.

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Bruce Blackadar. 2015-05-02. The homotopy lifting theorem for semiprojective C*-algebras. https://arxiv.org/abs/1207.1909

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