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The analytic index for proper, Lie groupoid actions

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Publication:2785086
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zbMath0995.19005arXiv0704.2799MaRDI QIDQ2785086

Alan L. T. Paterson

Publication date: 7 October 2002

Full work available at URL: https://arxiv.org/abs/0704.2799


zbMATH Keywords

Lie groupoidindex theoremoperator K-theory


Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fredholm structures on infinite-dimensional manifolds (58B15) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Noncommutative geometry (à la Connes) (58B34) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47) Index theory (19K56)


Related Items

Twisted K-theory of differentiable stacks ⋮ The Fredholm property for groupoids is a local property ⋮ The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map



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