Cyclic cohomology of etale groupoids

J. L. Brylinski; Victor Nistor

doi:10.1007/BF00961407

Cyclic cohomology of etale groupoids

J. L. Brylinski, Victor Nistor

Mathematics

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63 Scopus citations

Abstract

We extend Connes's computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through these groups. Our results also explain some results of Atiyah and Segal on orbifold Euler characteristic in the setting of cyclic homology.

Original language	English (US)
Pages (from-to)	341-365
Number of pages	25
Journal	K-Theory
Volume	8
Issue number	4
DOIs	https://doi.org/10.1007/BF00961407
State	Published - Jul 1 1994

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/BF00961407

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title = "Cyclic cohomology of etale groupoids",

abstract = "We extend Connes's computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through these groups. Our results also explain some results of Atiyah and Segal on orbifold Euler characteristic in the setting of cyclic homology.",

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AU - Brylinski, J. L.

AU - Nistor, Victor

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N2 - We extend Connes's computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through these groups. Our results also explain some results of Atiyah and Segal on orbifold Euler characteristic in the setting of cyclic homology.

AB - We extend Connes's computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through these groups. Our results also explain some results of Atiyah and Segal on orbifold Euler characteristic in the setting of cyclic homology.

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JO - K-Theory

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Cyclic cohomology of etale groupoids

Abstract

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