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Quantum isometries, noncommutative spheres and related integrals

Volume 111 / 2017

Teodor Banica Banach Center Publications 111 (2017), 101-144 MSC: Primary 14A22; Secondary 16T05. DOI: 10.4064/bc111-0-3


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.


  • Teodor BanicaDepartment of Mathematics
    Cergy-Pontoise University
    95000 Cergy-Pontoise, France

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