Algebras of Random Operators Associated to Delone Dynamical Systems |
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| Authors: | Lenz Daniel Stollmann Peter |
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| Affiliation: | (1) Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany |
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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 C*-subalgebra to discuss a Shubin trace formula. |
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| Keywords: | operator algebras groupoids random operators aperiodic tilings quasicrystals |
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