A characterization of weak (semi-)projectivity for commutative C*-algebras

2011/02/16 by Dominic Enders, Enders, Dominic
Mathematics · #46L05 #46M10 #54C55 #54C56 #54F15 #55M15 (Primary) #55P55 (Secondary) #FOS: Mathematics #General Topology (math.GN) #Operator Algebras (math.OA) #math.GN #math.OA #msc:46L05 #msc:46M10 #msc:54C55 #msc:54C56 #msc:54F15 #msc:55M15 #msc:55P55

paper · pdf · doi:10.48550/arxiv.1102.3303

6 pages

arxiv created 2011/02/16 · arxiv updated 2011/02/17

Abstract

We show that the spectrum X of a weakly semiprojective, commutative C*-algebra C(X) is at most one dimensional. This completes the work of Sørensen and Thiel on the characterization of weak (semi-)projectivity for commutative C*-algebras.

Related

• Weak semiprojectivity for purely infinite C*-algebras
• Projectivity of Banach and C^*-algebras of continuous fields
• Subalgebras of finite codimension in semiprojective C*-algebras
• Semiprojectivity and semiinjectivity in different categories
• Almost commuting matrices, cohomology, and dimension