Mackey systems of monoidal categories and G-spectra

Kazuhisa Shimakawa

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We construct an equivariant infinite loop space machine denned on certain class of monoidal OG-categories which have built-in Mackey structure. Applications include the equivariant infinite delooping of the classifying space BF(G) for stable spherical G-fibrations and also the construction of an infinite loop G-space E(X, G) with π0HE(X, G) naturally isomorphic to the equivariant Whitehead groups WhH(X) of given G-space X.

Original languageEnglish
Pages (from-to)373-394
Number of pages22
JournalK-Theory
Volume5
Issue number4
DOIs
Publication statusPublished - Jul 1991
Externally publishedYes

Fingerprint

Monoidal Category
Equivariant
G-space
Loop Space
Classifying Space
Fibration
Isomorphic

Keywords

  • equivariant Whitehead group
  • G-spectrum
  • Mackey system of monoidal categories
  • spherical G-fibration

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mackey systems of monoidal categories and G-spectra. / Shimakawa, Kazuhisa.

In: K-Theory, Vol. 5, No. 4, 07.1991, p. 373-394.

Research output: Contribution to journalArticle

Shimakawa, Kazuhisa. / Mackey systems of monoidal categories and G-spectra. In: K-Theory. 1991 ; Vol. 5, No. 4. pp. 373-394.
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