On the Algebraic Index for Riemannian Étale Groupoids
نویسندگان
چکیده
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. Mathematics Subject Classification (2000). Primary 58J20; Secondary 53D55.
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