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math.KT2010★ 16 cited
K-Theoretic Duality for Hyperbolic Dynamical Systems
Jerome Kaminker, Ian F. Putnam, Michael F. Whittaker
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previou…
math.KT2002★ 1 cited
A proof of the Gap Labeling Conjecture
Jerome Kaminker, Ian Putnam
We give a proof of the Gap Labeling Conjecture formulated by J. Bellissard. This gives information about the spectrum of a Schrodinger operator associated to a quasicrystal. The pr…