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- Title
Derived representation theory and the algebraic <italic>K</italic>‐theory of fields.
- Authors
Carlsson, Gunnar E.
- Abstract
In this paper, we prove a conjecture on the relationship of the algebraic <italic>K</italic>‐theory of a field <italic>F</italic>, with abelian separable Galois group <italic>G</italic><italic>F</italic>, containing an algebraically closed subfield with the <italic>K</italic>‐theory of the category of finite‐dimensional continuous linear representations of <italic>G</italic><italic>F</italic> 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
K-theory; ABELIAN groups; GALOIS theory; GROUP theory
- Publication
Journal of Topology, 2011, Vol 4, p543
- ISSN
1753-8416
- Publication type
Article
- DOI
10.1112/jtopol/jtr013