Delone dynamical systems and associated random operators
数学物理
2007-05-23 v2 math.MP
摘要
We carry out a careful study of basic topological and ergodic features of Delone dynamical systems. We then investigate the associated topological groupoids and in particular their representations on certain direct integrals with non constant fibres. Via non-commutative-integration theory these representations give rise to von Neumann algebras of random operators. Features of these algebras and operators are discussed. Restricting our attention to a certain subalgebra of tight binding operators, we then discuss a Shubin trace formula.
引用
@article{arxiv.math-ph/0202042,
title = {Delone dynamical systems and associated random operators},
author = {Daniel Lenz and Peter Stollmann},
journal= {arXiv preprint arXiv:math-ph/0202042},
year = {2007}
}
备注
19 pages; revised version