Mathematisches Institut der Universität München - B. Pareigis ## 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
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