E-Dissertationen: Auflistung E-Dissertationen nach Autor "Marcolli, Matilde"
Anzeige der Dokumente 1-6 von 6
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Algebraic Aspects of Noncommutative Tori: the Riemann-Hilbert Correspondence
Mahanta, Snigdhayan (2007)In this thesis we have tried to figure out some algebraic aspects of noncommutative tori, aiming at generalizing them to arbitrary noncommutative spaces. In the second section all relevant definitions, some examples and ... -
Arithmetic structures on noncommutative tori with real multiplication
Plazas, Jorge (2007)We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmetic structure on the noncommutative torus. ... -
Contributions to Quantum Probability
Fritz, Tobias (2010-07-07)Chapter 1: On the existence of quantum representations for two dichotomic measurements. Under which conditions do outcome probabilities of measurements possess a quantum-mechanical model? This kind of problem is solved ... -
Coverings, Correspondence, and Noncommutative Geometry
Al-Yasry, Ahmad Zainy (2009-01-19)We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as branched covers of the 3-sphere, up to ... -
Quantum Statistical Mechanics of Shimura Varieties
Ha, Eugene (2006)The Bost-Connes and Connes-Marcolli C*-dynamical systems are seen to be associated to the Shimura varieties for GL(1) and GL(2), respectively. In this thesis we carry out the construction of Bost-Connes-Marcolli systems ... -
Type III von Neumann algebras in the Theory of Infinite-dimensional Groups
Dynov, Ivan (2008)<p>We study two examples of von Neumann algebras that are generated by the right and left regular representations of two infinite dimensional groups $\BON$ and $\BOZ$. These regular representations were studied by Alexander ...