Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space
We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation property and coefficient rings and C∗-algebras which are stable with respect to compact operators. We use this and Higson-Kasparov's result that the Baum-Connes conjecture holds for such a group G, to s...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00754102_v2015_n_p_Cortinas |
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todo:paper_00754102_v2015_n_p_Cortinas2023-10-03T14:53:55Z Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space Cortiñas, G. Tartaglia, G. We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation property and coefficient rings and C∗-algebras which are stable with respect to compact operators. We use this and Higson-Kasparov's result that the Baum-Connes conjecture holds for such a group G, to show that the algebraic and the C∗-crossed product of G with a stable separable G-C∗-algebra have the same K-theory. © 2015 De Gruyter. Fil:Cortiñas, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Tartaglia, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00754102_v2015_n_p_Cortinas |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation property and coefficient rings and C∗-algebras which are stable with respect to compact operators. We use this and Higson-Kasparov's result that the Baum-Connes conjecture holds for such a group G, to show that the algebraic and the C∗-crossed product of G with a stable separable G-C∗-algebra have the same K-theory. © 2015 De Gruyter. |
| format |
JOUR |
| author |
Cortiñas, G. Tartaglia, G. |
| spellingShingle |
Cortiñas, G. Tartaglia, G. Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| author_facet |
Cortiñas, G. Tartaglia, G. |
| author_sort |
Cortiñas, G. |
| title |
Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| title_short |
Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| title_full |
Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| title_fullStr |
Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| title_full_unstemmed |
Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space |
| title_sort |
compact operators and algebraic k-theory for groups which act properly and isometrically on hilbert space |
| url |
http://hdl.handle.net/20.500.12110/paper_00754102_v2015_n_p_Cortinas |
| work_keys_str_mv |
AT cortinasg compactoperatorsandalgebraicktheoryforgroupswhichactproperlyandisometricallyonhilbertspace AT tartagliag compactoperatorsandalgebraicktheoryforgroupswhichactproperlyandisometricallyonhilbertspace |
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1807324649366749184 |