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- W1574409002 abstract "We discuss sufficient conditions ensuring that certain endomorphisms of infinite factors arising from Cuntz algebras are braided. We analyse some explicit non-trivial examples associated to unitary solutions of quantum Yang-Baxter equations on a Hilbert space of dimension 2. In particular we show the existence of endomorphisms of index 2 associated to representations of Hecke algebras at a primitive fourth root of unity. In this case we compute the associated fusion rules. These fusion rules define a finitely generated *-semiring which is not finite. Such a picture seems to be closely related to the description of (the dual of) a deformation, at a fourth root of unity, of some compact matrix group. This could be of some interest for the investigation of quantum summetries naturally appearing in low-dimensional Quantum Field Theory." @default.
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- W1574409002 date "2000-09-01" @default.
- W1574409002 modified "2023-10-14" @default.
- W1574409002 title "Braided Endomorphisms of Cuntz Algebras" @default.
- W1574409002 doi "https://doi.org/10.7146/math.scand.a-14301" @default.
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