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

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

1996-10-23

arxiv.org/abs/funct-an/9610003v1

Physics

High Energy Physics

High Energy Physics - Theory

AMSLaTeX, 33 pages

Scientific paper

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.

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