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Noncommutative geometry, dynamics, and∞-adic Arakelov geometry, Selecta Mathematica 10( · 2004

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Noncommutative geometry on the Berkovich projective line

math.FA · 2024-11-04 · unverdicted · novelty 7.0

Constructs C*-algebras and spectral triples on the Berkovich projective line over Cp, with KMS states recovering invariant measures such as Patterson-Sullivan from crossed products by Schottky subgroups of PGL2(Cp).

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  • Noncommutative geometry on the Berkovich projective line math.FA · 2024-11-04 · unverdicted · none · ref 15

    Constructs C*-algebras and spectral triples on the Berkovich projective line over Cp, with KMS states recovering invariant measures such as Patterson-Sullivan from crossed products by Schottky subgroups of PGL2(Cp).