English

Algebras of random operators associated to Delone dynamical systems

Mathematical Physics 2007-05-23 v1 math.MP Operator Algebras

Abstract

We carry out a careful study of operator algebras associated with Delone dynamical systems. A von Neumann algebra is defined using noncommutative integration theory. Features of these algebras and the operators they contain are discussed. We restrict our attention to a certain subalgebra to discuss a Shubin trace formula.

Keywords

Cite

@article{arxiv.math-ph/0210031,
  title  = {Algebras of random operators associated to Delone dynamical systems},
  author = {D. Lenz and P. Stollmann},
  journal= {arXiv preprint arXiv:math-ph/0210031},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-07-22T16:22:00.785Z