XXXVIII Workshop on Geometric Methods in Physics | 30.06-6.07.2019 |

VIII School on Geometry and Physics | 24-28.06.2019 |

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## Gustavo Corach## Poincare disk of a C*-algebraWe study the PoincarÃ© 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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University of Bialystok |

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