Article ID Journal Published Year Pages File Type
4613726 Journal of Mathematical Analysis and Applications 2017 8 Pages PDF
Abstract

Let D⊆AD⊆A be an inclusion of unital abelian C⁎C⁎-algebras. In this note we characterize (in topological terms) when there is a unique conditional expectation E:A→DE:A→D, at least when AA is separable. We also provide the first example of an inclusion with a unique conditional expectation, but multiple pseudo-expectations (in the sense of Pitts).

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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