In this paper we study actions of locally compact quantum groups on von Neumann algebras and prove that every action has a canonical unitary implementation, paralleling Haagerup's classical result on the unitary implementation of a locally compact group action. This result is an important tool in th
A locally compact quantum group of triangular matrices
โ Scribed by P. Fima; L. Vainerman
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 225 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0041-5995
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๐ SIMILAR VOLUMES
We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under some mild integrability condition. We also establish a quantum analogue of the classical bijective correspondence betwe
In this Note we propose a simple definition of a locally compact quantum group in reduced form. By the word "reduced" we mean that we suppose the Haar weight to be faithful, and hence we define in fact arbitrary locally compact quantum groups represented on the L'-space of the Haar weight. We constr