Equivariant homology for pseudo-differential operators

الأصل · EN

We compute the cyclic homology for the cross-product al- gebra A(M)Γ of the algebra of complete symbols on a compact man- ifold M with action of a finite group Γ. 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∞(M) Γ.