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- Title
Derived representation theory and the algebraic K-theory of fields.
- Authors
Carlsson, Gunnar E.
- Abstract
In this paper, we prove a conjecture on the relationship of the algebraic K-theory of a field F, with abelian separable Galois group GF, containing an algebraically closed subfield with the K-theory of the category of finite-dimensional continuous linear representations of GF in an algebraically closed field. The connection is achieved through the use of a certain derived completion construction defined for commutative ring spectra. The paper proposes that the conjecture should hold for non-abelian separable Galois groups.
- Subjects
HOMOLOGY theory; ALGEBRAIC topology; K-theory; GALOIS theory
- Publication
Journal of Topology, 2011, Vol 4, Issue 3, p543
- ISSN
1753-8416
- Publication type
Article
- DOI
10.1112/jtopol/jtr013