منابع مشابه
Groupoid Cocycles and Derivations
This is a study of derivations constructed from conditionally negative type functions on groupoids which illustrates Sauvageot’s theory of noncommutative Dirichlet forms.
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Let A be a Banach algebra, and let E be a Banach A-bimodule. A linear map S :AMNE is intertwining if the bilinear map (a, b)PN (δ"S ) (a, b)B a[Sb®S(ab)Sa[b, A¬AMNE, is continuous, and a linear map D :AMNE is a deriation if δ"D ̄ 0, so that a derivation is an intertwining map. Derivations from A to E are not necessarily continuous. The purpose of the present paper is to prove that the continui...
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Abstract. Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large category of contact simple Lie algebras which are related to locally finite derivations and are in general not finitely graded. The isomorphism classes of these Lie algebras were determined in a previous pape...
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We show that Haefliger’s cohomology for étale groupoids, Moore’s cohomology for locally compact groups and the Brauer group of a locally compact groupoid are all particular cases of sheaf (or Čech) cohomology for topological simplicial spaces.
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2012
ISSN: 2008-8752
DOI: 10.15352/afa/1399899929