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On the ring structure of K∗ for discrete groups

✍ Scribed by Daniel Juan-Pineda


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
571 KB
Volume
87
Category
Article
ISSN
0166-8641

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✦ Synopsis


Let r be a discrete group of finite virtual cohomological dimension. Using a rational splitting for G-equivariant K-theory (when G is a finite group) due to T. tom Dieck, we find a rational splitting for the classifying space of such groups.


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Let O O be a commutative ring, and suppose is a normalized O O-algebra automorphism of the group ring O OG of a finite group G over O O. In this paper we consider the action of on various algebraic structures associated to G. Suppose O O is an integral domain of characteristic 0, and that no prime d