Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
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| Speaker: |
Kenny De Commer, U.C. Leuven |
| Title: |
Projective corepresentations of compact quantum groups |
| Abstract: |
For a locally compact group G, a unitary projective representation on a
Hilbert space H is completely determined by the associated action of G
on B(H). It is therefore natural to define a unitary projective
corepresentation of a locally compact quantum group as a coaction
on a type I factor. In this talk, I want to give some detailed
information about one particular family of examples of such actions.
It concerns compact quantum groups with an irreducible unitary projective
representation on an infinite-dimensional Hilbert space, such that the
projective representation is implemented by a 2-cocycle by which one can
twist the compact quantum group into a non-compact but still locally
compact quantum group. |
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ometria |
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echerche |
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ométrie |
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