Article ID Journal Published Year Pages File Type
4589707 Journal of Functional Analysis 2015 59 Pages PDF
Abstract

We prove a relative analogue of equivalence between nuclearity and CPAP. In its proof, the notion of weak containment for C⁎-correspondences plays an important role. As an application we prove KK-equivalence between full and reduced amalgamated free products of C⁎-algebras under a strengthened variant of ‘relative nuclearity’.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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