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

Richard B. Melrose·Victor Nistor
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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 $η$-invariant.

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BibTeXRIS

Richard B. Melrose, Victor Nistor. 1996-10-23. $C^*$-algebras of $b$-pseudodifferential operators and an $\R^k$-equivariant index theorem. https://arxiv.org/abs/funct-an/9610003

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