Galois objects and cocycle twisting for locally compact quantum groups
By K. De Commer. 2008
46 citations recorded by the source corpus.
In this article, we investigate the notion of a Galois object for a locally compact quantum group M. Such an object consists of a von Neumann algebra N equipped with an ergodic integrable coaction of M on N, such that the crossed product is a type I factor. We show how to construct from such a coaction a new locally compact quantum group P, which we call the reflection of M along N. By way of application, we prove the following statement: any twisting of a locally compact quantum group by a unitary 2-cocycle is again a locally compact quantum group.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a0f21133af961d69bee557164dcd6c0e6c07ac48
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In Geometry and Topology
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Locally compact quantum groups (2017, methodology): “[9] K. De Commer, On cocycle twisting of compact quantum groups, J. Funct.”