Nil k-theory maps to cyclic homology

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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
Issue number2
StatePublished - Oct 1987

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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


Dive into the research topics of 'Nil k-theory maps to cyclic homology'. Together they form a unique fingerprint.

Cite this