Principal groupoid C*-algebras with bounded trace

Details Principal groupoid C*-algebras with bounded trace Principal groupoid C*-algebras with bounded trace

2006-11-09

arxiv.org/abs/math/0611251v1

Mathematics

Operator Algebras

Scientific paper

Suppose G is a second countable, locally compact, Hausdorff, principal
groupoid with a fixed left Haar system. We define a notion of integrability for
groupoids, and show G is integrable if and only if the groupoid C*-algebra
C*(G) has bounded trace.

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