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One-dimensional Tiling Semigroups

โœ Scribed by Mark V. Lawson

Publisher
Springer
Year
2004
Tongue
English
Weight
394 KB
Volume
68
Category
Article
ISSN
0037-1912

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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

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At first, we determine the Green's relations of a tiling semigroup. Then we analyze some congruences, which lead to a variety of properties characterizing tiling semigroups. It is proved that any tiling semigroup is 0-E-reflexive but is not 0-simple. We have found out certain necessary conditions in