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arxiv: 1102.3303 · v1 · pith:CJB375BInew · submitted 2011-02-16 · 🧮 math.OA · math.GN

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

classification 🧮 math.OA math.GN
keywords commutativealgebrascharacterizationprojectivitysemi-weakalgebracompletes
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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 S{\o}rensen and Thiel on the characterization of weak (semi-)projectivity for commutative C*-algebras.

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