The authors continue a series of articles studying certain unitary representations of the Richard Thompson groups F, T, V called Pythagorean. They all extend to the Cuntz algebra O and conversely all representations of O are of this form. Via this approach we introduce a tensor product for a large class of representations of F,T,V,O. We prove that a sub-category forms a tensor category and perform a number of explicit computations of fusion rules.
A Tensor Product for Representations of the Cuntz Algebra and of the R. Thompson Groups
Brothier A.Primo
;
2025-01-01
Abstract
The authors continue a series of articles studying certain unitary representations of the Richard Thompson groups F, T, V called Pythagorean. They all extend to the Cuntz algebra O and conversely all representations of O are of this form. Via this approach we introduce a tensor product for a large class of representations of F,T,V,O. We prove that a sub-category forms a tensor category and perform a number of explicit computations of fusion rules.File in questo prodotto:
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