JournalsowrVol. 6, No. 3pp. 2271–2334

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.

Cite this article

Joachim Cuntz, Alain Connes, Marc A. Rieffel, Noncommutative Geometry. Oberwolfach Rep. 6 (2009), no. 3, pp. 2271–2334

DOI 10.4171/OWR/2009/41