C*-actions of r-discrete groupoids and inverse semigroups

1998/01/01 by John Quigg, Quigg, John, Nándor Sieben +2 · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.OA #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/9801002

LaTeX-2e, 18 pages, uses pb-diagram.sty

arxiv created 1999/04/05 · arxiv updated 2009/11/30

Abstract

Groupoid actions on C*-bundles and inverse semigroup actions on C*-algebras are closely related when the groupoid is r-discrete.

Cited by

• On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads
• The interplay between Steinberg algebras and partial skew rings

Related

• Groupoids viewed as inverse semigroups
• Inverse Semigroupoid Actions and Representations
• C*-crossed products by partial actions and actions of inverse semigroups
• On a groupoid construction for actions of certain inverse semigroups
• A categorical approach to inverse semigroups, étale groupoids, and their C*-algebras