Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/111698
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Type: Journal article
Title: The real K-theory of compact lie groups
Author: Fok, C.
Citation: Symmetry, Integrability and Geometry: Methods and Applications, 2014; 10:1-26
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
Issue Date: 2014
ISSN: 1815-0659
1815-0659
Statement of
Responsibility: 
Chi-Kwong Fok
Abstract: Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σG and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) KR-theory of (G; σG) by drawing on previous results on the module structure of the KR-theory and the ring structure of the equivariant K-theory.
Keywords: KR-theory; compact lie groups; real representations; real equivariant formality
Rights: The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License.
DOI: 10.3842/SIGMA.2014.022
Published version: http://dx.doi.org/10.3842/SIGMA.2014.022
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Mathematical Sciences publications

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