Event № 199
During the month of March Prof. Michael Skeide will be visiting our department, and he has kindly agreed to give a series of lectures on "von Neumann modules". (A von Neumann module is a module over a von Neumann algebra M that has a M-valued inner product defined on it. So it is like a Hilbert space, with a von Neumann algebra taking the place of the scalars).
Michael Skeide developed a large part of the theory of von Neumann modules to tackle problems in non-commutative dynamics, such as the study of one parameter semigroups of endomorphisms or completely-positive semigroups on operator algebras.
To understand what is going on in this seminar, one needs to know some basic C*-algebras and von Neumann algebras theory, as well as basic facts on C*-correspondences.
One should refresh one's memory on the following topics:
1) C*-algebras, see http://www.math.uni-sb.de/ag/speicher/lehre/hmwise1516/Cstern.pdf
2) von Neumann algebras, see the first four pages of http://www.math.uni-sb.de/ag/speicher/lehre/hmwise1516/vNeumann.pdf