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

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

2011-06-22

arxiv.org/abs/1106.4535v1

Mathematics

Operator Algebras

14 pages

Scientific paper

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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