Woronowicz Tannaka-Krein duality and free orthogonal quantum groups


  • Sara Malacarne




Given a finite-dimensional Hilbert space $H$ and a collection of operators between its tensor powers satisfying certain properties, we give a short proof of the existence of a compact quantum group $G$ with a fundamental representation $U$ on $H$ such that the intertwiners between the tensor powers of $U$ coincide with the given collection of operators. We then explain how the general version of Woronowicz Tannaka-Krein duality can be deduced from this.


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How to Cite

Malacarne, S. (2018). Woronowicz Tannaka-Krein duality and free orthogonal quantum groups. MATHEMATICA SCANDINAVICA, 122(1), 151–160. https://doi.org/10.7146/math.scand.a-97320