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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 Kn(R)=Kn(R[t]) implies Kn(R)=Kn(R[t1,t2]). The answer to this question is affirmative when R is essentially of finite type over the complex numbers, but negative in general. © 2010 The Author(s).

Registro:

Documento: Artículo
Título:Bass' NK groups and cdh-fibrant Hochschild homology
Autor:Cortiñas, G.; Haesemeyer, C.; Walker, M.E.; Weibel, C.
Filiación:Dep. Matemática, FCEyN-UBA, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina
Dept. of Mathematics, University of California, Los Angeles, CA 90095, United States
Dept. of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, United States
Dept. of Mathematics, Rutgers University, New Brunswick, NJ 08901, United States
Año:2010
Volumen:181
Número:2
Página de inicio:421
Página de fin:448
DOI: http://dx.doi.org/10.1007/s00222-010-0253-z
Título revista:Inventiones Mathematicae
Título revista abreviado:Invent. Math.
ISSN:00209910
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00209910_v181_n2_p421_Cortinas.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00209910_v181_n2_p421_Cortinas

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Citas:

---------- APA ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E. & Weibel, C. (2010) . Bass' NK groups and cdh-fibrant Hochschild homology. Inventiones Mathematicae, 181(2), 421-448.
http://dx.doi.org/10.1007/s00222-010-0253-z
---------- CHICAGO ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C. "Bass' NK groups and cdh-fibrant Hochschild homology" . Inventiones Mathematicae 181, no. 2 (2010) : 421-448.
http://dx.doi.org/10.1007/s00222-010-0253-z
---------- MLA ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C. "Bass' NK groups and cdh-fibrant Hochschild homology" . Inventiones Mathematicae, vol. 181, no. 2, 2010, pp. 421-448.
http://dx.doi.org/10.1007/s00222-010-0253-z
---------- VANCOUVER ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C. Bass' NK groups and cdh-fibrant Hochschild homology. Invent. Math. 2010;181(2):421-448.
http://dx.doi.org/10.1007/s00222-010-0253-z