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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152401We 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 pagesFunctional AnalysisDifferential GeometryHigh Energy Physics - TheoryOperator Algebras58G12 (Primary) 19K56, 46L80, 58G15 (Secondary)$C^*$-algebras of $b$-pseudodifferential operators and an $\R^k$-equivariant index theoremtext