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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∗-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.

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:2015
Volumen:2015
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_v2015_n_p_Cortinas

Referencias:

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Citas:

---------- APA ----------
Cortiñas, G. & Tartaglia, G. (2015) . Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space. Journal fur die Reine und Angewandte Mathematik, 2015.
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 2015 (2015).
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. 2015, 2015.
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. 2015;2015.
http://dx.doi.org/10.1515/crelle-2014-0154