Homology of algebras of families of pseudodifferential operators

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We compute the Hochschild, cyclic, and periodic cyclic homology groups of algebras of families of Laurent complete symbols on manifolds with corners. We show in particular that the spectral sequence associated with Hochschild homology degenerates at $E^2$ and converges to Hochschild homology. As a byproduct, we deduce an identification of the space of residue traces on fibrations by manifolds with corners. In the process, we prove several general results about algebras of complete symbols on manifolds with corners.
29 pages, LaTeX

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K-Theory and Homology, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/63168

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201198
 http://arxiv.org/abs/math/0201198

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arXiv