Limit sets as examples in noncommutative geometry

Details Limit sets as examples in noncommutative geometry Limit sets as examples in noncommutative geometry

2004-04-19

arxiv.org/abs/math/0404346v3

Mathematics

Differential Geometry

final version

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Limit sets as examples in noncommutative geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Limit sets as examples in noncommutative geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limit sets as examples in noncommutative geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55720