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 |
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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 |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | London Mathematical Society |
ISSN: | 1753-8416 |
Date of First Compliant Deposit: | 2 December 2016 |
Last Modified: | 07 Nov 2023 20:13 |
URI: | https://orca.cardiff.ac.uk/id/eprint/89479 |
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