Nil k-theory maps to cyclic homology

Charles A. Weibel

doi:10.1090/S0002-9947-1987-0902784-0

Nil k-theory maps to cyclic homology

Charles A. Weibel

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

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 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	https://doi.org/10.1090/S0002-9947-1987-0902784-0
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

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10.1090/S0002-9947-1987-0902784-0

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KW - Algebraic K-theory. Partially supported by NSF grant

KW - Cyclic homology

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