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Abstract: In this article, we investigate the notion of a Galois object for a locallycompact quantum group M. Such an object consists of a von Neumann algebra Nequipped with an ergodic integrable coaction of M on N, such that the crossedproduct is a type I factor. We show how to construct from such a coaction a newlocally compact quantum group P, which we call the reflection of M along N. Byway of application, we prove the following statement: any twisting of a locallycompact quantum group by a unitary 2-cocycle is again a locally compact quantumgroup.



Autor: K. De Commer

Fuente: https://arxiv.org/







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