Algebras of random operators associated to Delone dynamical systems

D. Lenz; P. Stollmann

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arXiv · math-ph/0210031

Algebras of random operators associated to Delone dynamical systems

D. Lenz·P. Stollmann

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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.

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D. Lenz, P. Stollmann. 2002-10-16. Algebras of random operators associated to Delone dynamical systems. https://arxiv.org/abs/math-ph/0210031

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