A Homology Theory for Etale Groupoids

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dc.creatorCrainic, Marius
dc.creatorMoerdijk, Ieke
dc.date1999-05-03
dc.date.accessioned2026-07-07T05:28:56Z
dc.date.available2026-07-07T05:28:56Z
dc.descriptionEtale groupoids arise naturally as models for leaf spaces of foliations, for orbifolds, and for orbit spaces of discrete group actions. In this paper we introduce a sheaf homology theory for etale groupoids. We prove its invariance under Morita equivalence, as well as Verdier duality between Haefliger cohomology and this homology. We also discuss the relation to the cyclic and Hochschild homologies of Connes' convolution algebra of the groupoid, and derive some spectral sequences which serve as a tool for the computation of these homologies.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/9905011
dc.identifierhttp://arxiv.org/abs/math/9905011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78448
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.titleA Homology Theory for Etale Groupoids
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