Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 397

Tiling semigroups

J. Kellendonk and M. Lawson

It has recently been shown how to construct an inverse semigroup from any tiling: a construction having applications in K-theoretical gap-labelling. In this paper, we provide the categorical basis for this construction in terms of an appropriate group acting partially and without fixed points on an inverse category associated with the tiling

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