Fuglede-Kadison determinants and entropy for actions of discrete amenable groups

Details Fuglede-Kadison determinants and entropy for actions of discrete amenable groups Fuglede-Kadison determinants and entropy for actions of discrete amenable groups

2005-02-11

arxiv.org/abs/math/0502233v1

Mathematics

Dynamical Systems

27 pages

Scientific paper

In 1990, Lind, Schmidt and Ward gave a formula for the entropy of certain $\mathbb{Z}^n$-dynamical systems attached to Laurent polynomials $P$, in terms of the (logarithmic) Mahler measure of $P$. We extend the expansive case of their result to the noncommutative setting where $\mathbb{Z}^n$ gets replaced by suitable discrete amenable groups. Generalizing the Mahler measure, Fuglede-Kadison determinants from the theory of group von Neumann algebras appear in the entropy formula.

Affiliated with

Also associated with

No associations

Rating

Fuglede-Kadison determinants and entropy for actions of discrete amenable groups 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 Fuglede-Kadison determinants and entropy for actions of discrete amenable groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fuglede-Kadison determinants and entropy for actions of discrete amenable groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54928