The tiling C*-algebra viewed as a tight inverse semigroup algebra
Operator Algebras
2011-06-23 v1 Rings and Algebras
Abstract
We realize Kellendonk'?s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse semigroup associated to the tiling, thus providing further evidence that the tight C*-algebra is a good candidate to be the natural associative algebra to go along with an inverse semigroup.
Keywords
Cite
@article{arxiv.1106.4535,
title = {The tiling C*-algebra viewed as a tight inverse semigroup algebra},
author = {Ruy Exel and Daniel Gonçalves and Charles Starling},
journal= {arXiv preprint arXiv:1106.4535},
year = {2011}
}
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14 pages