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| Speaker: |
Manon Thibault, U. Blaise Pascal, Clermont-Ferrand
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| Title: |
Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations
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| Abstract: |
I will present in this talk a construction which is a natural generalization of Banica-Skalski's construction of the quantum
symmetry group of a \(C^*\)-algebra equipped with an orthogonal filtration,
and which unifies this foregoing construction with Goswami's construction of the quantum isometry group of an admissible spectral
triple.Also, with a spectral triple satisfying some assumptions (most of which appear in Connes's reconstruction theorem) one can
associate a Hilbert module equipped with an orthogonal filtration.
Our quantum symmetry group then provides an alternative approach to the quantum isometry group of the spectral triple.
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ruppo di |
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icerca |
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uropeo |
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taliano in |
GE |
ometria |
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mmutativa |
| roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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