C-algebras of B-pseudodifferential Operators and an R-equivariant Index Theorem
نویسندگان
چکیده
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. We discuss the relation between our results and the η-invariant.
منابع مشابه
An Index Theorem for Gauge-invariant Families: the Case of Solvable Groups
We define the gauge-equivariant index of a family of elliptic operators invariant with respect to the free action of a family G → B of Lie groups (these families are called “gauge-invariant families” in what follows). If the fibers of G → B are simply-connected and solvable, we compute the Chern character of the gauge-equivariant index, the result being given by an AtiyahSinger type formula tha...
متن کاملK-theory of C∗-algebras of B-pseudodifferential Operators
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 Rk. We briefly discuss the relation between our results and the η-invariant.
متن کاملAn Index Theorem for Families of Elliptic Operators Invariant with Respect to a Bundle of Lie Groups
We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. If the fibers of G → B are simply-connected solvable, we then compute the Chern character of the (equivariant family) index, the result being given by an Atiyah-Singer type formula. We also study traces on the corresponding algebras of pseudodifferentia...
متن کاملAn Index Theorem for Families Invariant with Respect to a Bundle of Lie Groups
We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. If the fibers of G → B are simply-connected solvable, we then compute the Chern character of the (equivariant family) index, the result being given by an Atiyah-Singer type formula. We also study traces on the corresponding algebras of pseudodifferentia...
متن کاملAn Index Theorem for Families Elliptic Operators Invariant with Respect to a Bundle of Lie Groups
We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. In this paper we concentrate on the issues specific to the case when G is trivial, so the action reduces to the action of a Lie group G. For G simply-connected solvable, we then compute the Chern character of the (equivariant family) index, the result b...
متن کامل