Sur la structure des algèbres de Kac,I |
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Authors: | Jean-Marie Schwartz |
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Affiliation: | CNRS, Equipe de recherche associée n° 746, Laboratoire de Mathématiques Fondamentales, Université Pierre et Marie Curie, 4 Place Jussieu, F-75230 Paris Cedex 05, France |
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Abstract: | We elaborate on the relative situation of a Kac algebra and its dual, then, introducing three invariants we obtain a generalization of Heisenberg's commutation relations. Using the operator-valued weights introduced by U. Haagerup, we give a simpler definition for Kac algebras. As an application, we generalize the unicity of the left Haar measure on a locally compact group. |
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