On partial actions and groupoids

By F. Abadie. 2004

75 citations recorded by the source corpus.

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Inverse semigroups and combinatorial C*-algebras (2007, background): “By a combinatorial C*-algebra we loosely mean any C*-algebra which is constructed from a combinatorial object.”
Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory (2011, background): “Groups are particular examples of groupoids (or ordered groupoids) and any partial group action has, as in the global case, a natural groupoid associated (see [2, 17], and [6]).”
Partial Dynamical Systems, Fell Bundles and Applications (2015, background): “Meanwhile let us remark that it has a natural groupoid [3] structure, where two elements (w, h, z) and (y, g, x) in Graph(θ) may be multiplied if and only if z = y, in which case we put”
Recent developments around partial actions (2018, methodology): “Subsequent C-algebraic and topological developments on partial actions were made in [5], [159], [233], [6], [141], [222], [60], [112], [93], [11] and [163].”
ON INVERSE SEMIGROUP C ∗ -ALGEBRAS AND CROSSED PRODUCTS (2011, methodology): “Khoshkam and Skandalis prove a more general result than that of Abadie in [12] using different terminology.”