C*-algebras of commuting endomorphisms

Details C*-algebras of commuting endomorphisms C*-algebras of commuting endomorphisms

2004-06-30

arxiv.org/abs/math/0406624v1

Mathematics

Operator Algebras

10 pages

Scientific paper

Given a compact space X and two commuting continuous open surjective maps sigma_1, sigma_2 : X --> X, we construct certain C*-algebras that reflect the dynamics of the N^2-action. When the maps sigma_1, sigma_2 are local homeomorphisms, these are groupoid algebras, but in general, we will use a Cuntz-Pimsner algebra associated to a product system of Hilbert bimodules in the sense of Fowler. The motivating example for our construction is the dynamical system associated with a rank two graph by Kumjian and Pask. We consider also a two-dimensional subshift of Ledrappier, the case of two covering maps of the circle, and the two-dimensional Bernoulli shift.

Affiliated with

Also associated with

No associations

Rating

C*-algebras of commuting endomorphisms 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 C*-algebras of commuting endomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and C*-algebras of commuting endomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597028