English

On Glimm's Theorem for almost Hausdorff G-spaces

Operator Algebras 2016-07-21 v2

Abstract

We establish a characterization of the well-behaved orbits of a totally Baire GG-space of a hereditary Lindel\"of locally compact group under a mild assumption of Hausdorffness. Furthermore we give a reformulation of the proof of Glimm's theorem generalizing the assertion from second countable to hereditary Lindel\"of locally compact groups acting on second countable spaces.

Keywords

Cite

@article{arxiv.1202.5018,
  title  = {On Glimm's Theorem for almost Hausdorff G-spaces},
  author = {Oliver Ungermann},
  journal= {arXiv preprint arXiv:1202.5018},
  year   = {2016}
}

Comments

Extensive revision. Correction of an error in the proof of Theorem 12 of the first version

R2 v1 2026-06-21T20:23:39.426Z