Localization C*-algebras and K-theoretic duality

Abstract

Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a new picture of KK-theory in terms of time-parametrized families of (locally) compact operators that asymptotically commute with appropriate representations.

16 pages, a second proof was added for Theorem 5.1

Cited by in corpus (5)

• Equivariant Coarse (Co-)Homology Theories
• KK- and E-theory via homotopy theory
• Slant products on the Higson-Roe exact sequence
• The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)
• Crossed product approach to equivariant localization algebras