A proper generating functional on a Podleś sphere

Abstract

We construct a proper generating functional $L$ on a Podleś 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.

18 pages. Any comments are welcome. My website: https://sites.google.com/view/masatotanaka-homepage/%E3%83%9B%E3%83%BC%E3%83%A0 My E-mails: [email protected], [email protected]