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On the algebraic index for riemannian \'etale groupoids

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arxiv 0812.3975 v1 pith:UVMOXRDM submitted 2008-12-20 math.QA math.KT

M.J. Pflaum , H. Posthuma , X. Tang This is my paper · ORCID
classification math.QAmath.KT
keywords etaleindexriemannianalgebraicgroupoidgroupoidsproblemquasi-isomorphism
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In this paper we construct an explicit quasi-isomorphism to study the cyclic cohomology of a deformation quantization over a riemannian \'etale groupoid. Such a quasi-isomorphism allows us to propose a general algebraic index problem for riemannian \'etale groupoids. We discuss solutions to that index problem when the groupoid is proper or defined by a constant Dirac structure on a 3-dim torus.

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