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- W2065762169 abstract "We study spectral properties of random operators in the general setting of groupoids and von Neumann algebras. In particular, we establish an explicit formula for the canonical trace of the von Neumann algebra of random operators and define an abstract density of states. While the treatment applies to a general framework we lay special emphasis on three particular examples: random Schrödinger operators on manifolds, quantum percolation and quasi–crystal Hamiltonians. For these examples we show that the distribution function of the abstract density of states coincides with the integrated density of states defined via an exhaustion procedure." @default.
- W2065762169 created "2016-06-24" @default.
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- W2065762169 date "2007-05-17" @default.
- W2065762169 modified "2023-10-17" @default.
- W2065762169 title "Groupoids, von Neumann Algebras and the Integrated Density of States" @default.
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- W2065762169 doi "https://doi.org/10.1007/s11040-007-9019-2" @default.
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