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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Generalized Artin and Brauer induction for compact Lie groups

Author(s): Halvard Fausk
Journal: Trans. Amer. Math. Soc. 360 (2008), 5043-5066.
MSC (2000): Primary 55P91, 19A22; Secondary 55P42
Posted: April 14, 2008
MathSciNet review: 2403712
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Abstract | References | Similar articles | Additional information

Abstract: Let $ G$ be a compact Lie group. We present two induction theorems for certain generalized $ G$-equivariant cohomology theories. The theory applies to $ G$-equivariant $ K$-theory $ K_G$, and to the Borel cohomology associated with any complex oriented cohomology theory. The coefficient ring of $ K_G$ is the representation ring $ R(G)$ of $ G$. When $ G$ is a finite group the induction theorems for $ K_G$ coincide with the classical Artin and Brauer induction theorems for $ R(G)$.

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Additional Information:

Halvard Fausk
Affiliation: Department of Mathematics, University of Oslo, 1053 Blindern, 0316 Oslo, Norway
Email: fausk@math.uio.no

DOI: 10.1090/S0002-9947-08-04528-5
PII: S 0002-9947(08)04528-5
Received by editor(s): December 18, 2006
Posted: April 14, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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