Homology of algebras of families of pseudodifferential operators

Moulay Tahar Benameur, Victor Nistor

Research output: Contribution to journalArticle

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Abstract

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 E2 and converges to Hochschild homology. As a byproduct, we identify the space of residue traces on fibrations by manifolds with corners. In the process, we prove some structural results about algebras of complete symbols on manifolds with corners.

Original languageEnglish (US)
Pages (from-to)1-36
Number of pages36
JournalJournal of Functional Analysis
Volume205
Issue number1
DOIs
StatePublished - Dec 1 2003

All Science Journal Classification (ASJC) codes

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