XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Gustavo Corach

Poincare disk of a C*-algebra

We study the Poincaré disk of a unital C*-algebra A as a homogeneous reductive space of the group of all Moebius transformations with entries in A. We present a geometric interpretation of the partial isometry of an element of the disk in terms of a convenient operator cross ratio, related to some construction by M. I. Zelikin.

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