Localization C*-algebras and K-theoretic duality
K-Theory and Homology
2018-12-26 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.1609.06690,
title = {Localization C*-algebras and K-theoretic duality},
author = {Marius Dadarlat and Rufus Willett and Jianchao Wu},
journal= {arXiv preprint arXiv:1609.06690},
year = {2018}
}
Comments
16 pages, a second proof was added for Theorem 5.1