Affine transformation crossed product like algebras and noncommutative surfaces

Details Affine transformation crossed product like algebras and noncommutative surfaces Affine transformation crossed product like algebras and noncommutative surfaces

2009-03-11

arxiv.org/abs/0903.1925v1

Physics

Mathematical Physics

Scientific paper

Several classes of *-algebras associated to the action of an affine transformation are considered, and an investigation of the interplay between the different classes of algebras is initiated. Connections are established that relate representations of *-algebras, geometry of algebraic surfaces, dynamics of affine transformations, graphs and algebras coming from a quantization procedure of Poisson structures. In particular, algebras related to surfaces being inverse images of fourth order polynomials (in R^3) are studied in detail, and a close link between representation theory and geometric properties is established for compact as well as non-compact surfaces.

Affiliated with

Also associated with

No associations

Rating

Affine transformation crossed product like algebras and noncommutative surfaces 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 Affine transformation crossed product like algebras and noncommutative surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine transformation crossed product like algebras and noncommutative surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123619