Injectivity and Projectivity in Analysis and Topology

Details Injectivity and Projectivity in Analysis and Topology Injectivity and Projectivity in Analysis and Topology

2007-06-20

arxiv.org/abs/0706.2995v1

Mathematics

Operator Algebras

Scientific paper

We give new proofs for many injectivity results in analysis that make more careful use of the duality between unital abelian C*-algebras and compact Hausdorff spaces. We then extend many of these results to incorporate group actions. Our approach uses only elementary topological constructions and eliminates the need for results from the theory of Boolean algebras and AW*-algebras that were used in earlier proofs.

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