English

Lacunary sections for locally compact groupoids

Functional Analysis 2016-09-06 v1 Operator Algebras

Abstract

It is proved that every second countable locally Hausdorff and locally compact continuous groupoid has a Borel set of units that meets every orbit and is what is called "lacunary," a property that implies that the intersection with every orbit is countable.

Keywords

Cite

@article{arxiv.math/9602218,
  title  = {Lacunary sections for locally compact groupoids},
  author = {Arlan Ramsay},
  journal= {arXiv preprint arXiv:math/9602218},
  year   = {2016}
}

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12 pages