Adams operations on the twisted K-theory of compact Lie groups

Chi Kwong Fok

doi:10.1007/s40062-024-00342-9

Adams operations on the twisted K-theory of compact Lie groups

Chi Kwong Fok^*

^*Corresponding author for this work

Department of Pure Mathematics

NYU-ECNU Institute of Mathematical Sciences, New York University Shanghai

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, extending the results in Fok (Proc Am Math Soc 145:2799–2813, 2017), we compute Adams operations on the twisted K-theory of connected, simply-connected and simple compact Lie groups G, in both equivariant and nonequivariant settings.

Original language	English
Pages (from-to)	99-120
Number of pages	22
Journal	Journal of Homotopy and Related Structures
Volume	19
Issue number	2
Early online date	18 Mar 2024
DOIs	https://doi.org/10.1007/s40062-024-00342-9
Publication status	Published - Jun 2024

Keywords

19L50
55S25

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10.1007/s40062-024-00342-9

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title = "Adams operations on the twisted K-theory of compact Lie groups",

abstract = "In this paper, extending the results in Fok (Proc Am Math Soc 145:2799–2813, 2017), we compute Adams operations on the twisted K-theory of connected, simply-connected and simple compact Lie groups G, in both equivariant and nonequivariant settings.",

keywords = "19L50, 55S25",

author = "Fok, \{Chi Kwong\}",

note = "Publisher Copyright: {\textcopyright} Tbilisi Centre for Mathematical Sciences 2024.",

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month = jun,

doi = "10.1007/s40062-024-00342-9",

language = "English",

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N2 - In this paper, extending the results in Fok (Proc Am Math Soc 145:2799–2813, 2017), we compute Adams operations on the twisted K-theory of connected, simply-connected and simple compact Lie groups G, in both equivariant and nonequivariant settings.

AB - In this paper, extending the results in Fok (Proc Am Math Soc 145:2799–2813, 2017), we compute Adams operations on the twisted K-theory of connected, simply-connected and simple compact Lie groups G, in both equivariant and nonequivariant settings.

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KW - 55S25

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DO - 10.1007/s40062-024-00342-9

M3 - Article

AN - SCOPUS:85187934028

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IS - 2

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Adams operations on the twisted K-theory of compact Lie groups

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Adams operations on compact Lie groups

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Adams operations on the twisted K-theory of compact Lie groups

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Adams operations on compact Lie groups

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