Analysis Seminar

Jaspar Wiart, Department of Pure Math, University of Waterloo

“Operator algebras arising from number theory.”

We begin by discussing the Toeplitz algebra of the ax+b-semigroup of a number ring. This C*-algebra can be described as a universal C*-algebra defined using generators and relations. We explain how these generators and relations recover the structure of the Toeplitz algebra. This C*-algebra is also the C*-envelope of the semicrossed product of a certain dynamical system arising from number theory. We give the dynamical system, sketch the proof of the isomorphism, state the main dilation theorem, and give an example.

MC 5413