Products and duality in Waldhausen categories

M S Weiss, B Williams

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The natural transformation Xi from L-theory to the Tate cohomology of Z/2 acting on K-theory commutes with external products. Corollary: The Tate cohomology of Z/2 actingon the K-theory of any ring with involution is a generalized Eilenberg-Mac Lane spectrum, and it is 4-periodic.

Original languageEnglish
Pages (from-to)689-709
Number of pages21
JournalTransactions of the American Mathematical Society
Volume352
Publication statusPublished - 2000

Keywords

  • products
  • ring spectrum
  • Tate cohomology
  • surgery
  • ALGEBRAIC K-THEORY
  • SPACES
  • SEGAL
  • FORMS

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