Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589707 | Journal of Functional Analysis | 2015 | 59 Pages |
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’.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kei Hasegawa,