Strength of convergence in the orbit space of a groupoid

Details Strength of convergence in the orbit space of a groupoid Strength of convergence in the orbit space of a groupoid

2010-06-16

arxiv.org/abs/1006.3115v1

Mathematics

Operator Algebras

34 pages

Scientific paper

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.

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