$C^*$algebras of $b$pseudodifferential operators and an $\R^k$equivariant index theorem
Abstract
We compute $K$theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of $\R^k.$ We discuss the relation between our results and the $\eta$invariant.
 Publication:

arXiv eprints
 Pub Date:
 October 1996
 arXiv:
 arXiv:functan/9610003
 Bibcode:
 1996funct.an.10003M
 Keywords:

 Mathematics  Functional Analysis;
 High Energy Physics  Theory;
 Mathematics  Differential Geometry;
 Mathematics  Operator Algebras;
 58G12 (Primary) 19K56;
 46L80;
 58G15 (Secondary)
 EPrint:
 AMSLaTeX, 33 pages