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A spectral sequence for the<i>K</i>-theory of tiling spaces

A spectral sequence for the<i>K</i>-theory of tiling spaces

Abstract Let š¯’Æ be an aperiodic and repetitive tiling of ā„¯ d with finite local complexity. We present a spectral sequence that converges to the K -theory of š¯’Æ with page-2 given by a new cohomology that will be called PV in reference to the Pimsnerā€“Voiculescu exact sequence. It is ā€¦