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The real K-theory of compact Lie groups.

Fok, Chi-Kwong.

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The real K-theory of compact Lie groups.

Record Type:	Electronic resources : Monograph/item
Title/Author:	The real K-theory of compact Lie groups./
Author:	Fok, Chi-Kwong.
Description:	130 p.
Notes:	Source: Dissertation Abstracts International, Volume: 76-04(E), Section: B.
Contained By:	Dissertation Abstracts International76-04B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3647162
ISBN:	9781321372137

The real K-theory of compact Lie groups.
Fok, Chi-Kwong.

The real K-theory of compact Lie groups. - 130 p.

Source: Dissertation Abstracts International, Volume: 76-04(E), Section: B.

Thesis (Ph.D.)--Cornell University, 2014.

Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution sigmaG and viewed as a G-space via the conjugation action. In this thesis we compute Atiyah's Real K-theory of G in several contexts.

ISBN: 9781321372137Subjects--Topical Terms:

515831
Mathematics.

The real K-theory of compact Lie groups.
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020 $a 9781321372137
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100 1 $a Fok, Chi-Kwong. $3 3191524
245 1 4 $a The real K-theory of compact Lie groups.
300 $a 130 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-04(E), Section: B.
500 $a Adviser: Reyer Sjamaar.
502 $a Thesis (Ph.D.)--Cornell University, 2014.
520 $a Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution sigmaG and viewed as a G-space via the conjugation action. In this thesis we compute Atiyah's Real K-theory of G in several contexts.
520 $a We first obtain a complete description of the algebra structure of the equivariant KR-theory of both (G, sigma G ) and (Gsigma G&compfn; inv), where inv means group inversion, by utilizing the notion of Real equivariant formality and drawing on previous results on the module structure of the KR-theory and the ring structure of the equivariant K-theory.
520 $a The Freed-Hopkins-Teleman Theorem (FHT) asserts a canonical link between the equivariant twisted K-homology of G and its Verlinde algebra. In the latter part of the thesis we give a partial 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 their cohomology group which is shown to classify the former, and Real Spinc structures.
590 $a School code: 0058.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
690 $a 0405
690 $a 0642
710 2 $a Cornell University. $b Mathematics. $3 3191508
773 0 $t Dissertation Abstracts International $g 76-04B(E).
790 $a 0058
791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3647162