## Annals of K-Theory

### 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.

#### Article information

Source
Ann. K-Theory, Volume 3, Number 4 (2018), 615-630.

Dates
Received: 21 September 2016
Revised: 27 February 2018
Accepted: 26 March 2018
First available in Project Euclid: 5 January 2019

Permanent link to this document
https://projecteuclid.org/euclid.akt/1546657258

Digital Object Identifier
doi:10.2140/akt.2018.3.615

Mathematical Reviews number (MathSciNet)
MR3892961

Zentralblatt MATH identifier
07000854

Keywords
K-theory duality operator algebras

#### Citation

Dadarlat, Marius; Willett, Rufus; Wu, Jianchao. Localization $C^*$-algebras and $K$-theoretic duality. Ann. K-Theory 3 (2018), no. 4, 615--630. doi:10.2140/akt.2018.3.615. https://projecteuclid.org/euclid.akt/1546657258

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