Bass' NK groups and cdh-fibrant Hochschild homology
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&...
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2010
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00209910_v181_n2_p421_Cortinas_oai |
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I28-R145-paper_00209910_v181_n2_p421_Cortinas_oai2024-08-16 Cortiñas, G. Haesemeyer, C. Walker, M.E. Weibel, C. 2010 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). Fil:Cortiñas, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Invent. Math. 2010;181(2):421-448 Bass' NK groups and cdh-fibrant Hochschild homology info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00209910_v181_n2_p421_Cortinas_oai |
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Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-145 |
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Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| description |
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). |
| format |
Artículo Artículo publishedVersion |
| author |
Cortiñas, G. Haesemeyer, C. Walker, M.E. Weibel, C. |
| spellingShingle |
Cortiñas, G. Haesemeyer, C. Walker, M.E. Weibel, C. Bass' NK groups and cdh-fibrant Hochschild homology |
| author_facet |
Cortiñas, G. Haesemeyer, C. Walker, M.E. Weibel, C. |
| author_sort |
Cortiñas, G. |
| title |
Bass' NK groups and cdh-fibrant Hochschild homology |
| title_short |
Bass' NK groups and cdh-fibrant Hochschild homology |
| title_full |
Bass' NK groups and cdh-fibrant Hochschild homology |
| title_fullStr |
Bass' NK groups and cdh-fibrant Hochschild homology |
| title_full_unstemmed |
Bass' NK groups and cdh-fibrant Hochschild homology |
| title_sort |
bass' nk groups and cdh-fibrant hochschild homology |
| publishDate |
2010 |
| url |
http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00209910_v181_n2_p421_Cortinas_oai |
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AT cortinasg bassnkgroupsandcdhfibranthochschildhomology AT haesemeyerc bassnkgroupsandcdhfibranthochschildhomology AT walkerme bassnkgroupsandcdhfibranthochschildhomology AT weibelc bassnkgroupsandcdhfibranthochschildhomology |
| _version_ |
1809357058928017408 |