On the algebraic index for Riemannian étale groupoids

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Authors
Publication date 2009
Journal Letters in Mathematical Physics
Volume | Issue number 90 | 1-3
Pages (from-to) 287-310
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper, we construct an explicit quasi-isomorphism to study the cyclic cohomology of a deformation quantization over a Riemannian étale groupoid. Such a quasi-isomorphism allows us to propose a general algebraic index problem for Riemannian étale groupoids. We discuss solutions to that index problem when the groupoid is proper or defined by a constant Dirac structure on a 3-dimensional torus.
Document type Article
Published at https://doi.org/10.1007/s11005-009-0339-y
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