XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Elmar Wagner

Dirac operator on a noncommutative Toeplitz torus

We present an even spectral triple on a noncommutative torus defined as a subalgebra of the Toeplitz algebra. This spectral triple has spectral dimension 1, so one can say that the Toeplitz deformation results in a "dimension drop" of the noncommutative torus. This dimension drop will be discussed in the talk. (Joint work with Fredy Diaz.)

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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