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131 pages, Master's Thesis in Mathematics and Physics supervised by Prof. N. Landsman

Abstract:

A thesis presenting a theory of electronic transport in quasicrystals based on groupoid C*-algebras, and Noncommutative Topology. This is used to obtain a noncommutative C*-algebra of observables in the aperiodic case that is a generalization of its periodic counterpart in terms of Bloch theory for crystals. Author's conclusion: "The K-theory of this C*-algebra is used to obtain a labelling of the gaps in the spectrum of one-electron Hamiltonians, and this labelling can be linked to the value of the integrated density of states on the gaps." http://remote.science.uva.nl/~npl/fonger.pdf

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Open access, free online download http://remote.science.uva.nl/~npl/fonger.pdf

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quasycryst.pdf

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