Artículo
Cortiñas, G.; Tartaglia, G. "Trace class operators, regulators, and assembly maps in K-theory" (2014) Documenta Mathematica. 19(1):439-455
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Abstract:
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rational KH isomorphism conjecture for the group algebra L1[G] with coefficients in the algebra of trace-class operators in Hilbert space, then it also satisfies the Ktheoretic Novikov conjecture for the group algebra over the integers, and the rational injectivity part of the Farrell-Jones conjecture with coefficients in any number field.
Registro:
| Documento: | Artículo |
| Título: | Trace class operators, regulators, and assembly maps in K-theory |
| Autor: | Cortiñas, G.; Tartaglia, G. |
| Filiación: | Dep. de Matemática-IMAS, F. Cs. Exactas y Naturales, University de Buenos Aires, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina |
| Palabras clave: | Borel regulator; Homotopy algebraic k-theory; Multiplicative k-theory; Trace-class operators |
| Año: | 2014 |
| Volumen: | 19 |
| Número: | 1 |
| Página de inicio: | 439 |
| Página de fin: | 455 |
| Título revista: | Documenta Mathematica |
| Título revista abreviado: | Doc. Math. |
| ISSN: | 14310635 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14310635_v19_n1_p439_Cortinas |
Referencias:
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- Cortiñas, G., Ellis, E., Isomorphism conjectures with proper coefficients (2014) J. Pure Appl. Algebra, 218, pp. 1224-1263. , DOI10.1016/j.jpaa.2013.11.016
- Cortiñas, G., Tartaglia, G., Operator ideals and assembly maps in K-theory (2014) Proc. Amer. Math. Soc., 142, pp. 1089-1099
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- Cuntz, J., Quillen, D., Excision in bivariant periodic cyclic cohomology (1997) Invent. Math., 127 (1), pp. 67-98
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- Lück, W., Reich, H., The Baum-Connes and the Farrell-Jones conjectures in K- and L-theory (2005) Handbook of K-theory, 1 (2), pp. 703-842. , Springer Berlin
- Lück, W., Reich, H., Detecting K-theory by cyclic homology (2006) Proc. London Math. Soc., 3 (93), pp. 593-634. , no. 3
- Weibel, C.A., Homotopy algebraic K-theory, Algebraic K-theory and algebraic number theory (Honolulu, HI, 1987) (1989) Contemp. Math., 83, pp. 461-488. , Amer. Math. Soc., Providence, RI
- Yu, G., The algebraic K-theory Novikov conjecture for group algebras over the ring of Schatten class operators arXiv:1106.3796
Citas:
---------- APA ----------
Cortiñas, G. & Tartaglia, G. (2014) . Trace class operators, regulators, and assembly maps in K-theory. Documenta Mathematica, 19(1), 439-455.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14310635_v19_n1_p439_Cortinas [ ]
---------- CHICAGO ----------
Cortiñas, G., Tartaglia, G. "Trace class operators, regulators, and assembly maps in K-theory" . Documenta Mathematica 19, no. 1 (2014) : 439-455.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14310635_v19_n1_p439_Cortinas [ ]
---------- MLA ----------
Cortiñas, G., Tartaglia, G. "Trace class operators, regulators, and assembly maps in K-theory" . Documenta Mathematica, vol. 19, no. 1, 2014, pp. 439-455.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14310635_v19_n1_p439_Cortinas [ ]
---------- VANCOUVER ----------
Cortiñas, G., Tartaglia, G. Trace class operators, regulators, and assembly maps in K-theory. Doc. Math. 2014;19(1):439-455.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14310635_v19_n1_p439_Cortinas [ ]
