The equivariant analytic index for proper groupoid actions

Abstract

The paper constructs the analytic index for an elliptic pseudodifferential family of $L^{m}_{ρ,\de}$-operators invariant under the proper action of a continuous family groupoid on a $G$-compact, $C^{\infty ,0}$ $G$-space.

References in corpus (3)

• Hopf algebras, cyclic cohomology and the transverse index theory
• An index theorem for families invariant with respect to a bundle of Lie groups
• The Fourier algebra for locally compact groupoids