Mackey structures on equivariant algebraic K-theory

Kazuhisa Shimakawa

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5 Citations (Scopus)

Abstract

We study the Mackey structure of the G-spectrum KGC associated to a monoidal G-category C. It is proved that the coefficient system of KGC coincides, as a (graded) Mackey functor, with the system of equivariant K-groups in the sense of Fröhlich and Wall. It is also shown that for any exact category U, there exists a G-spectrum QGU representing the equivariant K-theory of U in the sense of Dress and Kuku, and that QGU is naturally G-homotopy equivalent to KGIso U if every short exact sequence in U splits.

Original languageEnglish
Pages (from-to)355-371
Number of pages17
JournalK-Theory
Volume5
Issue number4
DOIs
Publication statusPublished - Jul 1 1991

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Keywords

  • G-spectrum
  • Special Γ-space
  • equivariant algebraic K-theory

ASJC Scopus subject areas

  • Mathematics(all)

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