Algebras of random operators associated to Delone dynamical systems

Details Algebras of random operators associated to Delone dynamical systems Algebras of random operators associated to Delone dynamical systems

2002-10-16

arxiv.org/abs/math-ph/0210031v1

Physics

Mathematical Physics

19 pages

Scientific paper

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.

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