Abstract
Associated to any compact quantum group $G\subset U_{N}^{+}$ is a canonical family of group dual subgroups $\widehat{\Gamma }_{Q}\subset G$, parametrized by unitaries $Q\in U_{N}$, playing the role of “maximal tori” for $G$. We present here a series of conjectures, relating the various algebraic and analytic properties of $G$ to those of the family $\{\widehat{\Gamma }_{Q}|Q\in U_{N}\}$.
Citation
Teodor Banica. Issan Patri. "Maximal torus theory for compact quantum groups." Illinois J. Math. 61 (1-2) 151 - 170, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046213
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