Article ID Journal Published Year Pages File Type
8899864 Journal of Mathematical Analysis and Applications 2018 10 Pages PDF
Abstract
We prove a new characterization of Rickart C⁎-algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I C⁎-algebras with Hausdorff primitive spectrum. As an application to group C⁎-algebras, we identify certain locally compact groups G for which C⁎(G) has (SP). Finally, among other results, a characterization of AW⁎-algebras is given in terms of (SP).
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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