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Speaker: |
François Lemeux, U. Besançon
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Title: |
Operator algebraic properties for free wreath product by quantum permutation groups
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Abstract: |
I will start by recalling a few definitions about free quantum groups such as free orthogonal and unitary
quantum groups and quantum permutation groups. Then I will recall the definitions of Bichon for free
wreath product quantum groups. I will explain how to compute the fusion rules of certain free wreath
products by the quantum permutation groups. To do this I will focus on giving a combinatorial description
of the intertwiner spaces in such free wreath products. I will give some applications of the knowledge of
such fusion rules such as approximation properties and factoriality.
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G |
ruppo di |
R |
icerca |
E |
uropeo |
F |
ranco- |
I |
taliano in |
GE |
ometria |
N |
on |
CO |
mmutativa |
roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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