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  • Gunnarsson, Thomas, et al. (author)
  • An un-delooped version of algebraic K-theory
  • 1992
  • In: Journal of Pure and Applied Algebra. - 0022-4049 .- 1873-1376. ; 79:3, s. 255-270
  • Journal article (peer-reviewed)abstract
    • Problems working with the Segal operations in algebraic K-theory of spaces-constructed by F. Waldhausen (1982)-arose from the absence of a nice groupcompletion on the category level. H. Grayson and D. Gillet (1987) introduced a combinatorial model G. for K-theory of exact categories. For dealing with K-theory of spaces we need an extension wG. of their result to the context of categories with cofibrations and weak equivalences. Our main result is that in the presence of a suspension functor-as in the case of retractive spaces-the wG. construction on the category of prespectra is an un-delooped version of the K-theory of the original category. In a sequel to this paper we show that Grayson's formula (1988) for Segal operations works as intended.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Gunnarsson, Thomas (1)
Schwänzl, R. (1)
Vogt, R. M. (1)
Waldhausen, F. (1)
University
Luleå University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
1992 (1)

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