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

Richard B. Melrose; Victor Nistor

arxiv: funct-an/9610003 · v1 · submitted 1996-10-23 · funct-an · dg-ga· hep-th· math.DG· math.OA

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

Richard B. Melrose , Victor Nistor This is my paper

classification funct-an dg-gahep-thmath.DGmath.OA

keywords operatorsalgebrasequivariantindexinvariantpseudodifferentialtheoremaction

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

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