|
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
|
