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 language | English (US) |
---|---|
Pages (from-to) | 541-558 |
Number of pages | 18 |
Journal | Transactions of the American Mathematical Society |
Volume | 303 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1987 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
Keywords
- Algebraic K-theory. Partially supported by NSF grant
- Cyclic homology