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A proper generating functional on a Podleś sphere

Published 14 Dec 2023 in math.QA and math.RT | (2312.08836v2)

Abstract: We construct a proper generating functional $L$ on a Podle\'{s} sphere and we show that $1$-cocycle arising from $L$ coincides with the one in our previous work. We also show that our 1-cocycle is purely non Gaussian and that the full `group' $C{\ast}$-algebra of the quantum $SL(2,\mathbb{R})$ is liminal.

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