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Article Dans Une Revue Journal of Functional Analysis Année : 2010

The higher fixed point theorem for foliations I. Holonomy invariant currents

Résumé

In this paper, we prove a higher Lefschetz formula for foliations in the presence of a closed Haefliger current. We associate with such a current an equivariant cyclic cohomology class of Connes' C*-algebra of the foliation, and compute its pairing with the localized equivariant K-theory in terms of local contributions near the fixed points. As special cases, we recover a number of classical results, and since we may use any closed Haefliger current on the foliation, we get new and very interesting formulae.

Dates et versions

hal-00789819 , version 1 (18-02-2013)

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Moulay-Tahar Benameur, James L. Heitsch. The higher fixed point theorem for foliations I. Holonomy invariant currents. Journal of Functional Analysis, 2010, 259 (1), pp.131-173. ⟨10.1016/j.jfa.2010.03.023⟩. ⟨hal-00789819⟩
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