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Cohomology for Generalized Bredon Coefficient Systems and Higher K-Theory
Published online by Cambridge University Press: 19 April 2012
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
- 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