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Measurable Kac cohomology for bicrossed products
Author(s):
Saad
Baaj;
Georges
Skandalis;
Stefaan
Vaes
Journal:
Trans. Amer. Math. Soc.
357
(2005),
1497-1524.
MSC (2000):
Primary 22D05;
Secondary 55N99, 20J06
Posted:
November 23, 2004
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Additional information
Abstract:
We study the Kac cohomology for matched pairs of locally compact groups. This cohomology theory arises from the extension theory of locally compact quantum groups. We prove a measurable version of the Kac exact sequence and provide methods to compute the cohomology. We give explicit calculations in several examples using results of Moore and Wigner.
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Additional Information:
Saad
Baaj
Affiliation:
Laboratoire de Mathématiques Pures, Université Blaise Pascal, Bâtiment de Mathématiques, F--63177 Aubière Cedex, France
Email:
Saad.Baaj@math.univ-bpclermont.fr
Georges
Skandalis
Affiliation:
Algèbres d'Opérateurs et Représentations, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, F--75013 Paris, France
Email:
skandal@math.jussieu.fr
Stefaan
Vaes
Affiliation:
Algèbres d'Opérateurs et Représentations, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, F--75013 Paris, France -- and -- Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
Email:
vaes@math.jussieu.fr
DOI:
10.1090/S0002-9947-04-03734-1
PII:
S 0002-9947(04)03734-1
Keywords:
Measurable cohomology,
locally compact quantum groups,
extensions,
Kac exact sequence
Received by editor(s):
October 24, 2003
Posted:
November 23, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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