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Abstract:

We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation property and coefficient rings and C ∗ 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 ∗ C^{∗} -crossed product of G with a stable separable G- C ∗ C^{∗} -algebra have the same K-theory. © 2018 Walter de Gruyter GmbH, Berlin/Boston.

Registro:

Documento: Artículo
Título:Compact operators and algebraic K -theory for groups which act properly and isometrically on Hilbert space
Autor:Cortiñas, G.; Tartaglia, G.
Filiación:Departamento de Matemática-IMAS, FCEyN-UBA, Ciudad Universitaria Pab 1, Buenos Aires, 1428, Argentina
Año:2018
Volumen:2018
Número:734
Página de inicio:265
Página de fin:292
DOI: http://dx.doi.org/10.1515/crelle-2014-0154
Título revista:Journal fur die Reine und Angewandte Mathematik
Título revista abreviado:J. Reine Angew. Math.
ISSN:00754102
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v2018_n734_p265_Cortinas

Referencias:

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Citas:

---------- APA ----------
Cortiñas, G. & Tartaglia, G. (2018) . Compact operators and algebraic K -theory for groups which act properly and isometrically on Hilbert space. Journal fur die Reine und Angewandte Mathematik, 2018(734), 265-292.
http://dx.doi.org/10.1515/crelle-2014-0154
---------- CHICAGO ----------
Cortiñas, G., Tartaglia, G. "Compact operators and algebraic K -theory for groups which act properly and isometrically on Hilbert space" . Journal fur die Reine und Angewandte Mathematik 2018, no. 734 (2018) : 265-292.
http://dx.doi.org/10.1515/crelle-2014-0154
---------- MLA ----------
Cortiñas, G., Tartaglia, G. "Compact operators and algebraic K -theory for groups which act properly and isometrically on Hilbert space" . Journal fur die Reine und Angewandte Mathematik, vol. 2018, no. 734, 2018, pp. 265-292.
http://dx.doi.org/10.1515/crelle-2014-0154
---------- VANCOUVER ----------
Cortiñas, G., Tartaglia, G. Compact operators and algebraic K -theory for groups which act properly and isometrically on Hilbert space. J. Reine Angew. Math. 2018;2018(734):265-292.
http://dx.doi.org/10.1515/crelle-2014-0154