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https://hdl.handle.net/2440/116757
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Type: | Journal article |
Title: | Equivariant twisted Real K-theory of compact Lie groups |
Author: | Fok, C. |
Citation: | Journal of Geometry and Physics, 2018; 124:325-349 |
Publisher: | Elsevier |
Issue Date: | 2018 |
ISSN: | 0393-0440 1879-1662 |
Statement of Responsibility: | Chi-Kwong Fok |
Abstract: | Let G be a compact, connected, and simply-connected Lie group viewed as a G-space via the conjugation action. The Freed–Hopkins–Teleman Theorem (FHT) asserts a canonical link between the equivariant twisted K-homology of G and its Verlinde algebra. In this paper, we give a generalization of FHT in the presence of a Real structure of G. Along the way we develop preliminary materials necessary for this generalization, which are of independent interest in their own right. These include the definitions of Real Dixmier–Douady bundles, the Real third cohomology group which is shown to classify the former, and Real Spin (c) structures. |
Keywords: | Compact Lie groups; KR-theory; Verlinde algebra; Real Spin (c) structure |
Rights: | © 2017 Elsevier B.V. All rights reserved. |
DOI: | 10.1016/j.geomphys.2017.11.013 |
Published version: | https://www.journals.elsevier.com/journal-of-geometry-and-physics |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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