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arXiv · 1106.4535

The tiling C*-algebra viewed as a tight inverse semigroup algebra

Ruy Exel·Daniel Gonçalves·Charles Starling
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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.

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Ruy Exel, Daniel Gonçalves, Charles Starling. 2011-06-22. The tiling C*-algebra viewed as a tight inverse semigroup algebra. https://arxiv.org/abs/1106.4535

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