Nil k-theory maps to cyclic homology

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17 Scopus citations

Abstract

Algebraic K-theory breaks into two pieces: nil if-theory and Karoubi-Villamayor K-theory. Karoubi has constructed Chern classes from the latter groups into cyclic homology. We construct maps from nil if-theory to cyclic homology which are compatible with Karoubi’s maps, but with a degree shift. Several recent results show that in characteristic zero our map is often an isomorphism.

Original languageEnglish (US)
Pages (from-to)541-558
Number of pages18
JournalTransactions of the American Mathematical Society
Volume303
Issue number2
DOIs
StatePublished - Oct 1987

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Algebraic K-theory. Partially supported by NSF grant
  • Cyclic homology

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