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Title:
Compact hypergroups from discrete subfactors
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Abstract:
To every local braided discrete irreducible subfactor N<M (not necessarily finite-index) one can associate a canonical compact hypergroup K, acting on M by extremal ucp maps, such that the fixed point subalgebra M^K is precisely N. Our motivation is to describe in this way all possible discrete inclusions of local conformal nets (or better subnets). In particular, we show that when a local braided irreducible subfactor has depth two (e.g. it is a fixed-point under a compact quantum group) then it is a classical compact group fixed-point. Joint work with M. Bischoff (Ohio University) and S. Del Vecchio (Università di Roma Tor Vergata)
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