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• W2950793807 abstract "Let $Tt$ be an aperiodic and repetitive tiling of $RM^d$ with finite local complexity. We present a spectral sequence that converges to the $K$-theory of $Tt$ with $E_2$-page given by a new cohomology that will be called PV in reference to the Pimsner-Voiculescu exact sequence. It is a generalization of the Serre spectral sequence. The PV cohomology of $Tt$ generalizes the cohomology of the base space of a fibration with local coefficients in the $K$-theory of its fiber. We prove that it is isomorphic to the Cech cohomology of the hull of $Tt$ (a compactification of the family of its translates)." @default.
• W2950793807 created "2019-06-27" @default.
• W2950793807 creator A5033271364 @default.
• W2950793807 creator A5033608495 @default.
• W2950793807 date "2007-05-17" @default.
• W2950793807 modified "2023-09-27" @default.
• W2950793807 title "A Spectral Sequence for the K-theory of Tiling Spaces" @default.
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