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math.QA2008★ 1 cited
On the algebraic index for riemannian étale groupoids
M. J. Pflaum, H. Posthuma, X. Tang
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 all…
math.KT2008★ 1 cited
Cyclic cocycles on deformation quantizations and higher index theorems
M. Pflaum, H. Posthuma, X. Tang
We construct a nontrivial cyclic cocycle on the Weyl algebra of a symplectic vector space. Using this cyclic cocycle we construct an explicit, local, quasi-isomorphism from the com…