Continuous family groupoids

DOI10.4310/HHA.2000.v2.n1.a6zbMath0992.22001arXiv0704.2801OpenAlexW1995892714MaRDI QIDQ1583638

Alan L. T. Paterson

Publication date: 9 January 2001

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2801

zbMATH Keywords

Lie groupoidsindex theoremsAtiyah-Singer index theorem\(G\)-spacescontinuous left Haar systemfamily groupoids

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)

Related Items (8)

Cobordism invariance of the family index ⋮ A geometric approach to $K$-homology for Lie manifolds ⋮ Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ A cohomological formula for the Atiyah–Patodi–Singer index on manifolds with boundary ⋮ An index theorem for Wiener-Hopf operators ⋮ The Fredholm property for groupoids is a local property ⋮ Pseudodifferential operators on manifolds with fibred corners

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