The noncommutative infinitesimal equivariant index formula: part II

Abstract

In this paper, we prove that infinitesimal equivariant Chern-Connes characters are well-defined. We decompose an equivariant index as a pairing of infinitesimal equivariant Chern-Connes characters with the Chern character of an idempotent matrix. We compute the limit of infinitesimal equivariant Chern- Connes characters when the time goes to zero by using the Getzler symbol calculus and then extend these theorems to the family case. We also prove that infinitesimal equivariant eta cochains are well-defined and prove the noncommutative infinitesimal equivariant index formula for manifolds with boundary.

24 pages, final version, to appear in Journal of noncommutative geometry

References in corpus (1)

• Noncommutative Geometry and Conformal Geometry. II. Connes-Chern character and the local equivariant index theorem

Cited by in corpus (1)

• The noncommutative family Atiyah-Patodi-Singer index theorem