Bass’ NK groups and cdh -fibrant Hochschild homology
Identifieur interne : 000453 ( Main/Exploration ); précédent : 000452; suivant : 000454Bass’ NK groups and cdh -fibrant Hochschild homology
Auteurs : G. Corti As [Argentine] ; C. Haesemeyer [États-Unis] ; Mark E. Walker [États-Unis] ; C. Weibel [États-Unis]Source :
- Inventiones mathematicae [ 0020-9910 ] ; 2010-08-01.
Abstract
Abstract: The K-theory of a polynomial ring R[t] contains the K-theory of R as a summand. For R commutative and containing ℚ, we describe K *(R[t])/K *(R) in terms of Hochschild homology and the cohomology of Kähler differentials for the cdh topology. We use this to address Bass’ question, whether K n(R)=K n(R[t]) implies K n(R)=K n(R[t 1,t 2]). The answer to this question is affirmative when R is essentially of finite type over the complex numbers, but negative in general.
Url:
DOI: 10.1007/s00222-010-0253-z
Affiliations:
- Argentine, États-Unis
- Californie, Nebraska, New Jersey
- New Brunswick (New Jersey)
- Université Rutgers
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