Nil $K$-theory maps to cyclic homology
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- by Charles A. Weibel PDF
- Trans. Amer. Math. Soc. 303 (1987), 541-558 Request permission
Abstract:
Algebraic $K$-theory breaks into two pieces: nil $K$-theory and Karoubi-Villamayor $K$-theory. Karoubi has constructed Chern classes from the latter groups into cyclic homology. We construct maps from nil $K$-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.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 303 (1987), 541-558
- MSC: Primary 18F25; Secondary 18G99, 19D35, 19D55
- DOI: https://doi.org/10.1090/S0002-9947-1987-0902784-0
- MathSciNet review: 902784