Quantum isometries and noncommutative geometry
Résumé
The space $\mathbb C^N$ has no free analogue, but we can talk instead about the free sphere $S^{N-1}_{\mathbb C,+}$, as the manifold defined by the equations $\sum_ix_ix_i^*=\sum_ix_i^*x_i=1$. We discuss here the structure and hierarchy of the submanifolds $X\subset S^{N-1}_{\mathbb C,+}$, with particular attention to the manifolds having an integration functional $tr:C(X)\to\mathbb C$.
Domaines
Algèbres d'opérateurs [math.OA]Origine | Fichiers produits par l'(les) auteur(s) |
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