@article{Conti_Fidaleo_2000, title={Braided Endomorphisms of Cuntz Algebras}, volume={87}, url={https://www.mscand.dk/article/view/14301}, DOI={10.7146/math.scand.a-14301}, abstractNote={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.}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Conti, Roberto and Fidaleo, Francesco}, year={2000}, month={Sep.}, pages={93–114} }