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Elke Enning

Tathagata Banerjee (Göttingen): Coarse geometry for noncommutative spaces. Kleines Seminar.

Monday, 16.11.2015 10:15 im Raum SR4

Mathematik und Informatik

In our talk we shall mainly be interested in looking at quantization using Rieffel deformation through coarse geometry. Coarse geometry is mainly concerned with the large scale properties of a space and we know that quantum physics is equivalent to classical physics when considered at large distances. We define noncommutative coarse structures on a non-unital C*-algebra in terms of its unitizations and develop the corresponding notion of a noncommutative coarse map. Coarse structures given by proper metrics are the most interesting examples of classical coarse geometry, and can be equivalently defined in terms of its Higson compactification. We use this and our theory of noncommutative coarse geometry to show equivalence between the metric coarse structure of the classical plane R 2n and its Rieffel deformation, the Moyal plane. This has been my Ph.D. project under Prof. Ralf Meyer.



Angelegt am 13.11.2015 von Elke Enning
Geändert am 13.11.2015 von Elke Enning
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