Noncommutative Lattices and Their Continuum Limits

Details Noncommutative Lattices and Their Continuum Limits Noncommutative Lattices and Their Continuum Limits

1995-07-27

arxiv.org/abs/hep-th/9507148v2

J.Geom.Phys.20:329-348,1996

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 8 Figures included in the LaTeX Source New version, minor modifications (typos corrected) and a correction in the li

Scientific paper

10.1016/S0393-0440(95)00064-X

We consider finite approximations of a topological space $M$ by noncommutative lattices of points. These lattices are structure spaces of noncommutative $C^*$-algebras which in turn approximate the algebra $\cc(M)$ of continuous functions on $M$. We show how to recover the space $M$ and the algebra $\cc(M)$ from a projective system of noncommutative lattices and an inductive system of noncommutative $C^*$-algebras, respectively.

Affiliated with

Also associated with

No associations

Rating

Noncommutative Lattices and Their Continuum Limits 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 Noncommutative Lattices and Their Continuum Limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Lattices and Their Continuum Limits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552095