Equivariant homology for pseudo-differential operators

Details Equivariant homology for pseudo-differential operators Equivariant homology for pseudo-differential operators

2010-05-13

arxiv.org/abs/1005.2282v1

Mathematics

K-Theory and Homology

25pages

Scientific paper

We compute the cyclic homology for the cross-product al- gebra $A(M)\rtimes\Gamma$ of the algebra of complete symbols on a compact man- ifold $M$ with action of a finite group $\Gamma$. A spectral sequence argument shows that these groups can be identified using deRham cohomology of the fixed point manifolds $S ^*M ^g$ . In the process we obtain new re- sults about the homologies of general cross-product algebras and provide explicit identification of the homologies for $C^{\infty}(M)\rtimes \Gamma$.

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