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Equivariant K-theory, groupoids and proper actions Lopez, Jose Maria Cantarero
Abstract
Equivariant K-theory for actions of groupoids is defined and shown to be a cohomology theory on the category of finite equivariant CW-complexes. Under some conditions, these theories are representable. We use this fact to define twisted equivariant K-theory for actions of groupoids. A classification of possible twistings is given. We also prove a completion theorem for twisted and untwisted equivariant K-theory. Finally, some applications to proper actions of Lie groups are discussed.
Item Metadata
| Title |
Equivariant K-theory, groupoids and proper actions
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2009
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| Description |
Equivariant K-theory for actions of groupoids is defined and shown to be
a cohomology theory on the category of finite equivariant CW-complexes.
Under some conditions, these theories are representable. We use this fact to
define twisted equivariant K-theory for actions of groupoids. A classification
of possible twistings is given. We also prove a completion theorem for twisted
and untwisted equivariant K-theory. Finally, some applications to proper actions of Lie groups are discussed.
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| Extent |
1253504 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-11-09
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0068026
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2009-11
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International