Injectivity and projectivity in analysis and topology
Copyright policy )Injectivity and projectivity in analysis and topology
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.
- University of Houston Sugar Land United States
- University of New Hampshire United States
- University of Houston United States
46L05, operator space, Projective and injective objects in functional analysis, projective spaces, Fairly general properties of topological spaces, multipliers, Mathematics - Operator Algebras, FOS: Mathematics, injectivespaces, Operator Algebras (math.OA), Transformation groups and semigroups (topological aspects)
46L05, operator space, Projective and injective objects in functional analysis, projective spaces, Fairly general properties of topological spaces, multipliers, Mathematics - Operator Algebras, FOS: Mathematics, injectivespaces, Operator Algebras (math.OA), Transformation groups and semigroups (topological aspects)
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