Localized Chern Character and the index of Elliptic Operators Associated with Discrete Groups

Given an action of an infinite discrete group on a smooth manifold, we construct an equivariant Chern character in cyclic cohomolgy of the crossed product for equivariant vector bundles over fixed point submanifolds of torsion elements in the group. We use this Chern character to obtain an index formula for nonlocal elliptic operators associated with the group action. DOI 10.1134/S1061920824040174