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arXiv · 0711.0790

Operator algebra of foliations with projectively invariant transverse measure

Makoto Yamashita
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Abstract

We study the structure of operator algebras associated with the foliations which have projectively invariant measures. When a certain ergodicity condition on the measure preserving holonomies holds, the lack of holonomy invariant transverse measure can be established in terms of a cyclic cohomology class associated with the transverse fundamental cocycle and the modular automorphism group.

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Makoto Yamashita. 2007-11-06. Operator algebra of foliations with projectively invariant transverse measure. https://arxiv.org/abs/0711.0790

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