TY - JOUR
T1 - Equivariant Algebraic Index Theorem
AU - Gorokhovsky, Alexander
AU - De Kleijn, Niek
AU - Nest, Ryszard
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - 55U10
KW - 58H10 Secondary 18G30
KW - deformation quantization
KW - index theorem 2010 Mathematics subject classification: Primary 19K56
UR - http://www.scopus.com/inward/record.url?scp=85071945401&partnerID=8YFLogxK
U2 - 10.1017/S1474748019000380
DO - 10.1017/S1474748019000380
M3 - Journal article
AN - SCOPUS:85071945401
VL - 20
SP - 929
EP - 955
JO - Journal of the Institute of Mathematics of Jussieu
JF - Journal of the Institute of Mathematics of Jussieu
SN - 1474-7480
IS - 3
ER -