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Nuclear and type I crossed products of C*-algebras by group and compact quantum group actions
Direct proofs Feigin-Fuchs character formula unitary representations Virasoro algebra
2011/3/1
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary
discrete series of the Virasoro algebra with 0 < c < 1. The proof showed directly that the mutliplicity sp...
The Compact Quantum Group $U_q(2)$ (II)
compact quantum group $C^*$-algebra trace comultiplication
2007/12/11
In this paper, we first prove that the $\theta$-deformation $U_{\theta}(2)$ of $U(2)$ constructed by Connes and Violette is our special case of the quantum group $U_q(2)$ constructed in our previous p...