Quantum isometries, noncommutative spheres and related integrals
Volume 111 / 2017
Banach Center Publications 111 (2017), 101-144
MSC: Primary 14A22; Secondary 16T05.
DOI: 10.4064/bc111-0-3
Abstract
The sphere $S^{N-1}_\mathbb R$ has a half-liberated analogue $S^{N-1}_{\mathbb R,*}$, and a free analogue $S^{N-1}_{\mathbb R,+}$. This is a presentation of the construction and main properties of these noncommutative spheres, $S^{N-1}_\mathbb R\subset S^{N-1}_{\mathbb R,*}\subset S^{N-1}_{\mathbb R,+}$, and of their quantum isometry groups.
