Tathagata Banerjee (Göttingen): Coarse geometry for noncommutative spaces. Kleines Seminar.
Monday, 16.11.2015 10:15 im Raum SR4
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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