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• W2089178515 abstract "We define the cohomology of a tiling as the cocycle cohomology of its associated groupoid and consider this cohomology for the class of tilings which are obtained from a higher dimensional lattice by the canonical projection method in Schlottmann's formulation. We prove the cohomology to be equivalent to a certain cohomology of the lattice. We discuss one of its qualitative features, namely that it provides a topological obstruction for a generic tiling to be substitutional. We develop and demonstrate techniques for the computation of cohomology for tilings of codimension smaller than or equal to 2, presenting explicit formulae. These in turn give computations for the $K$-theory of certain associated non-commutative C * algebras." @default.
• W2089178515 created "2016-06-24" @default.
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• W2089178515 date "2002-03-01" @default.
• W2089178515 modified "2023-10-16" @default.
• W2089178515 title "Cohomology of Canonical Projection Tilings" @default.
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• W2089178515 doi "https://doi.org/10.1007/s002200200594" @default.
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