Continuous family groupoids

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dc.creatorPaterson, Alan L. T.
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:45Z
dc.date.available2026-07-07T07:57:45Z
dc.descriptionIn this paper, we define and investigate the properties of continuous family groupoids. This class of groupoids is necessary for investigating the groupoid index theory arising from the equivariant Atiyah-Singer index theorem for families, and is also required in noncommutative geometry. The class includes that of Lie groupoids, and the paper shows that, like Lie groupoids, continuous family groupoids always admit (an essentially unique) continuous left Haar system of smooth measures. We also show that the action of a continuous family groupoid $G$ on a continuous family $G$-space fibered over another continuous family $G$-space $Y$ can always be regarded as an action of the continuous family groupoid $G*Y$ on an ordinary $G*Y$-space.
dc.identifierhttps://arxiv.org/abs/0704.2801
dc.identifierhttp://arxiv.org/abs/0704.2801
dc.identifierHomology, Homotopy and Applications 2 (2000), 89-104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127759
dc.subjectK-Theory and Homology
dc.titleContinuous family groupoids
dc.typetext

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