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arXiv · 2312.08836

A proper generating functional on a Podle\'{s} sphere

Masato Tanaka
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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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Masato Tanaka. 2023-12-14. A proper generating functional on a Podle\'{s} sphere. https://arxiv.org/abs/2312.08836

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