The Homotopy Lifting Theorem for Semiprojective $C^*$-Algebras
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.
1986 ◽
Vol 29
(1)
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pp. 97-100
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1997 ◽
Vol 08
(03)
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pp. 357-374
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2008 ◽
Vol 19
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pp. 47-70
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2017 ◽
Vol 69
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pp. 548-578
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2017 ◽
Vol 60
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pp. 77-94
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1992 ◽
Vol 03
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pp. 185-204
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2015 ◽
Vol 26
(07)
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pp. 1550049
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1996 ◽
Vol 39
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pp. 420-428
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