## Probability Seminar - Pei-Lun Tseng (Queen's University)

### Thursday, October 11th, 2018

**Time:** 4:30-6:00 p.m. **Place:** Jeffery Hall 422

**Speaker:** Pei-Lun Tseng (Queen's University)

**Title:** Right Hilbert A-modules

**Abstract: **Last week, we gave a sketch of proving the GNS construction. We will start to introduce the matrices over a C*-algebra this week, which is an application of the GNS construction. Then, we will begin the new topic: Right Hilbert A-modules. We will deduce the process to construct the inner product on a right Hilbert A-module H. As long as we have the inner product, we can consider the orthogonality on H and compare the different between the scalar case and $A$-valued case.