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arXiv · 0812.3975

On the algebraic index for riemannian \'etale groupoids

M. J. Pflaum·H. Posthuma·X. Tang
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Abstract

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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M. J. Pflaum, H. Posthuma, X. Tang. 2008-12-20. On the algebraic index for riemannian \'etale groupoids. https://doi.org/10.1007/s11005-009-0339-y

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