## Free Probability & Random Matrices Seminar

### Thursday, October 4th, 2018

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

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

**Title:** A-Valued Theory

**Abstract: **In order to study operator-valued probability, we need some basic knowledge of C*-algebras. In this talk, I am trying to review what is a C*-algebra. and some properties of C*-algebras. The GNS construction will be covered, which is known as the follows: every C*-algebras can be represented as a algebra of bounded linear operators on a Hilbert space. This construction gives us good starting point to study matrices over a C*-algebra. If time permits, I will introduce right Hilbert A-modules.

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