✦ LIBER ✦

Tiling Semigroups

✍ Scribed by J. Kellendonk; Mark V. Lawson

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 88 KB
Volume: 224
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8120

No coin nor oath required. For personal study only.

✦ Synopsis

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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