Limit sets as examples in noncommutative geometry
Differential Geometry
2007-05-23 v3 Operator Algebras
Abstract
The fundamental group of a hyperbolic manifold acts on the limit set, giving rise to a cross-product C^* algebra. We construct nontrivial K-cycles for the cross-product algebra, thereby extending some results of Connes and Sullivan to higher dimensions. We also show how the Patterson-Sullivan measure on the limit set can be interpreted as a center-valued KMS state.
Cite
@article{arxiv.math/0404346,
title = {Limit sets as examples in noncommutative geometry},
author = {John Lott},
journal= {arXiv preprint arXiv:math/0404346},
year = {2007}
}
Comments
final version