A non-commutative model for higher twisted K-theory

Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 2016. A non-commutative model for higher twisted K-theory. Journal of Topology 9 (1) , pp. 27-50. 10.1112/jtopol/jtv033

Preview

PDF - Accepted Post-Print Version Download (450kB) | Preview

Abstract

We develop an operator algebraic model for twisted K-theory, which includes the most general twistings as a generalized cohomology theory (that is, all those classified by the unit spectrum bgl_1(KU)). Our model is based on strongly self-absorbing C*-algebras. We compare it with the known homotopy-theoretic descriptions in the literature, which either use parametrized stable homotopy theory or ∞-categories. We derive a similar comparison of analytic twisted K-homology with its topological counterpart based on generalized Thom spectra. Our model also works for twisted versions of localizations of the K-theory spectrum, like KU[1/n] or KU_ℚ.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	London Mathematical Society
ISSN:	1753-8416
Date of First Compliant Deposit:	2 December 2016
Last Modified:	23 Nov 2024 10:15
URI:	https://orca.cardiff.ac.uk/id/eprint/89479

Citation Data

Cited 2 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item