Reconstructing a totally disconnected groupoid from its ample semigroup

Details Reconstructing a totally disconnected groupoid from its ample semigroup Reconstructing a totally disconnected groupoid from its ample semigroup

2009-07-27

arxiv.org/abs/0907.4530v1

Mathematics

Operator Algebras

10 pages

Scientific paper

We show that a (not necessarily Hausdorff) etale, second countable groupoid G
with totally disconnected unit space may be reconstructed solely from the
algebraic structure of its ample semigroup S. We also show that C*(G) possesses
a universal property related to tight representations of S.

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