Annals of K-Theory
- Ann. K-Theory
- Volume 3, Number 4 (2018), 615-630.
Localization $C^*$-algebras and $K$-theoretic duality
Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a new picture of -theory in terms of time-parametrized families of (locally) compact operators that asymptotically commute with appropriate representations.
Ann. K-Theory, Volume 3, Number 4 (2018), 615-630.
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
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 19K35: Kasparov theory ($KK$-theory) [See also 58J22] 19K56: Index theory [See also 58J20, 58J22]
Secondary: 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
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