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).
Rumely,Potential theory and dynamics on the Berkovich projective line, Mathematicalsurveysandmonographs, no.v.159, AmericanMathematicalSociety, Providence, R.I
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Noncommutative geometry on the Berkovich projective line
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).