Regular representation of groupoid C -algebras and applications to inverse semigroups

By M. Khoshkam, G. Skandalis. 2002

129 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7d48d930b7e0621d984bc4e182de67e1f1be6f17

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In Algebra and Number Theory

In Applied Mathematics

In Mathematical Physics

Citations in the corpus

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.”
Non-Hausdorff groupoids, proper actions and $K$-theory (2004, methodology): “mple 2.3, L2(G) = ℓ2(Γ) ⊕([0,1] ×ℓ2(Γ/H)) with the scalar product hξ⊕η,ξ⊕ηi(x) = hη(x),η(x)iif x∈(0,1], and hξ⊕η,ξ⊕ηi(0) = hξ,ξi. The next proposition shows that our deﬁnition of L2(G) and the one in [14] are related in a very simple way. The advantage of the construction of Khoshkam and Skandalis i”
Equivalence and disintegration theorems for Fell bundles and their C*-algebras (2008, background): “However recent work has made it clear that the notion of a C-bundle, or for that matter a Banach bundle, as defined in this way is unnecessarily restrictive, and that it is sufficient to assume only that A is a C0(G )algebra [13, 14, 16, 17].”
Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness (2019, methodology): “This expectation has been used already by Khoskham and Skandalis [31].”
The holonomy groupoid of a singular foliation (2006, background): “In particular to any Lie groupoid is associated a foliation.”
Recent developments around partial actions (2018, result): “Notice that a particular Morita equivalence fact based on a partial action on a commutative C-algebra from [4] was recently related to a result from [211] by the authors of the above mentioned paper [235].”
RENAULT'S EQUIVALENCE THEOREM FOR GROUPOID CROSSED PRODUCTS (2007, background): “A number of the facts about non-Hausdorff groupoids that we shall use may be found in [21].”