The index of operators on foliated bundles

Victor Nistor

doi:10.1006/jfan.1996.0135

The index of operators on foliated bundles

Victor Nistor

Mathematics

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11 Scopus citations

Abstract

We compute the equivariant cohomology Connes-Karoubi character of the index of elliptic operators along the leaves of the foliation of a flat bundle. The proof uses techniques similar to those developed in Algebraic Topology, in the study of non-commutative algebras.

Original language	English (US)
Pages (from-to)	421-434
Number of pages	14
Journal	Journal of Functional Analysis
Volume	141
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1996.0135
State	Published - Nov 1 1996

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.1996.0135

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title = "The index of operators on foliated bundles",

abstract = "We compute the equivariant cohomology Connes-Karoubi character of the index of elliptic operators along the leaves of the foliation of a flat bundle. The proof uses techniques similar to those developed in Algebraic Topology, in the study of non-commutative algebras.",

author = "Victor Nistor",

note = "Funding Information: * Partially supported by NSF Grant DMS-9205548 and an NSF Young Investigator Award DMS-9457859.",

year = "1996",

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AB - We compute the equivariant cohomology Connes-Karoubi character of the index of elliptic operators along the leaves of the foliation of a flat bundle. The proof uses techniques similar to those developed in Algebraic Topology, in the study of non-commutative algebras.

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The index of operators on foliated bundles

Abstract

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