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Abstract
Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a
new picture of
K K -theory
in terms of time-parametrized families of (locally) compact operators that
asymptotically commute with appropriate representations.
Keywords
K-theory, duality, operator algebras
Mathematical Subject Classification 2010
Primary: 19K35, 19K56
Secondary: 46L80
Milestones
Received: 21 September 2016
Revised: 27 February 2018
Accepted: 26 March 2018
Published: 18 December 2018