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Cohomology for Generalized Bredon Coefficient Systems and Higher K-Theory

Published online by Cambridge University Press:  19 April 2012

Aderemi Kuku
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Abstract

Let be a generalized based category (see definition 1.2). In this paper, we construct a cohomology theory in the category of contravariant functors: where R is a commutative ring with identity, which generalizes Bredon cohomology involving finite, profinite or discrete groups.

We also study higher K-theory of the category of finitely generated projective objects in and the category of finitely generated objects in and obtain some finiteness and other results.

Keywords

generalized Bredon coefficient systemscohomologygeneralized based categorieshigher K-theoryfiniteprofinite and discrete groups
Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 1: Nanjing Special Issue on K-theory, number theory and geometry , August 2013 , pp. 99 - 113
Copyright
Copyright © ISOPP 2013 

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