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. © 2000 Academic Press.
CITATION STYLE
Kellendonk, J., & Lawson, M. V. (2000). Tiling semigroups. Journal of Algebra, 224(1), 140–150. https://doi.org/10.1006/jabr.1999.8120
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