Strength of convergence in the orbit space of a groupoid
Operator Algebras
2010-06-17 v1
Abstract
Let G be a second-countable locally-compact Hausdorff groupoid with a Haar system, and let {x_n} be a sequence in the unit space of G. We show that the notions of strength of convergence of {x_n} in the orbit space and measure-theoretic accumulation along the orbits are equivalent ways of realising multiplicity numbers associated to a sequence of induced representation of the groupoid C*-algebra.
Keywords
Cite
@article{arxiv.1006.3115,
title = {Strength of convergence in the orbit space of a groupoid},
author = {Robert Hazlewood and Astrid an Huef},
journal= {arXiv preprint arXiv:1006.3115},
year = {2010}
}
Comments
34 pages