On the algebraic index for riemannian \'etale groupoids
Quantum Algebra
2015-05-13 v1 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.0812.3975,
title = {On the algebraic index for riemannian \'etale groupoids},
author = {M. J. Pflaum and H. Posthuma and X. Tang},
journal= {arXiv preprint arXiv:0812.3975},
year = {2015}
}
Comments
19 pages