Department Mathematik



Yorck Sommerhäuser


Morita theory and deformation quantisation
(Morita-Theorie und Deformationsquantisierung)

  • Winter semester 2001/2002
  • Time: Friday, 11:15 am
  • Room: E 27
  • Planning session: Thursday, October 18, 2001, 11:15 pm, Room E 39
  • Contents: In the first part of the seminar, we explain the ordinary Morita theory for rings, following lecture notes of Hyman Bass. After a brief introduction to the theory of operator algebras, we then treat the analog of this theory for C*-algebras, as developed by Marc Rieffel. In the third part of the seminar we will make the connection with deformation quantisation. In deformation quantisation, one introduces on an a priori commutative algebra a new product, a so-called star product, which is no longer commutative. Often there are several possibilities for the introduction of such a star product. In some cases, it is possible to describe the circumstances under which the algebras endowed with the various star products are Morita-equivalent. This problem will be approached with the aid of recent research articles.

  • Seminar program (german, dvi)