Equivariant Algebraic Index Theorem

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

We prove a -equivariant version of the algebraic index theorem, where is a discrete group of automorphisms of a formal deformation of a symplectic manifold. The particular cases of this result are the algebraic version of the transversal index theorem related to the theorem of A. Connes and H. Moscovici for hypo-elliptic operators and the index theorem for the extension of the algebra of pseudodifferential operators by a group of diffeomorphisms of the underlying manifold due to A. Savin, B. Sternin, E. Schrohe and D. Perrot.

OriginalsprogEngelsk
TidsskriftJournal of the Institute of Mathematics of Jussieu
Vol/bind20
Udgave nummer3
Sider (fra-til)929–955
Antal sider27
ISSN1474-7480
DOI
StatusUdgivet - 2021

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