The homotopy lifting theorem for semiprojective C*-algebras
Operator Algebras
2015-05-05 v4 General Topology
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.
Keywords
Cite
@article{arxiv.1207.1909,
title = {The homotopy lifting theorem for semiprojective C*-algebras},
author = {Bruce Blackadar},
journal= {arXiv preprint arXiv:1207.1909},
year = {2015}
}
Comments
10 pages. Slight revisions, nothing substantive. To appear in Math. Scand