Course content

The course gives an introduction to C*-algebras and von Neumann algebras, which are the most important classes of operator algebras. Such algebras have fundamental applications in various areas of mathematics and in quantum physics. After having covered the basic results in the theory, some important classes of examples will be studied. The choice of examples may vary from one year to another, depending on the interests of the students following the course.

Learning outcome

After completing the course you

  • are familiar with the definitions of C*-algebras and von Neumann algebras, and with basic related concepts, such as *-homomorphisms, ideals, quotients, approximate units an