Operator algebra of foliations with projectively invariant transverse measure
Operator Algebras
2013-04-19 v3 K-Theory and Homology
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.
Cite
@article{arxiv.0711.0790,
title = {Operator algebra of foliations with projectively invariant transverse measure},
author = {Makoto Yamashita},
journal= {arXiv preprint arXiv:0711.0790},
year = {2013}
}
Comments
24 pages; thoroughly revised, to appear in Publ. RIMS