Every index pairing for crossed products of Cantor minimal systems is computable by Connes' trace formulas, and odometer algebras have uniformly finitely summable K-homology.
Non-commutative differential geometry
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Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems
Every index pairing for crossed products of Cantor minimal systems is computable by Connes' trace formulas, and odometer algebras have uniformly finitely summable K-homology.