Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
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| Speaker: |
Steven Deprez, U. C. Leuven |
| Title: |
A classification of all finite-index subfactors for a
class of II1 factors |
| Abstract: |
Given a II1 factor M associated to a good generalised Bernoulli action
of a weakly rigid group, we give a full classification of all finite-index
subfactors of M up to unitary conjugacy. In particular, we can compute
Jones' invariant C(M), i.e. the set of all the indices [M:P] of irreducible
finite-index subfactors P ⊂ M, for some concrete examples.
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