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Quantum Group Duality and the Cuntz Algebra

A. L. Carey, A. Paolucci, R. B. Zhang

q-algarXiv:q-alg/9705020

Abstract

The Cuntz algebra carries in a natural way the structure of a module algebra over the quantized universal enveloping algebra Uq(g), and the structure of a co-module algebra over the quantum group Gq associated with Uq(g). These two algebraic structures are dual to each other via the duality between Gq and Uq(g).

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