The noncommutative infinitesimal equivariant index formula: part II

DOI10.4171/JNCG/236arXiv1411.6751MaRDI QIDQ6256712

Publication date: 25 November 2014

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.

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

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