JournalsowrVol. 6 / No. 3DOI 10.4171/owr/2009/41

Noncommutative Geometry

  • Joachim Cuntz

    Universität Münster, Germany
  • Alain Connes

    Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France
  • Marc A. Rieffel

    University of California, Berkeley, USA
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Abstract

Many of the different aspects of Noncommutative Geometry were represented in the talks. The list of topics that were covered includes in particular new insight into the geometry of a noncommutative torus, local index formulae in various situations, C*-algebras and dynamical systems associated with number theoretic structures, new methods in K-theory for noncommutative algebras as well as new progress in quantum field theory using concepts from noncommutative geometry.