$C^*$-algebras of $b$-pseudodifferential operators and an $\R^k$-equivariant index theorem

Melrose, Richard B.; Nistor, Victor

$C^*$-algebras of $b$-pseudodifferential operators and an $\R^k$-equivariant index theorem

Authors

Description

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 $η$-invariant.
AMSLaTeX, 33 pages