[CANCELLED] Aitken Lecture: Equivalence relations, topology and C*-algebras

Professor Lisa Orloff-Clark (Victoria University of Wellington, New Zealand)

Friday 17th June 16:00-17:00 Joseph Black B419 Main LT (University of Glasgow)

Abstract

THIS LECTURE IS CANCELLED DUE TO A POSITIVE COVID RESULT

 

It is a pleasure to invite you to the LMS-NZMS Aitken Lecture by Professor Lisa Orloff-Clark. It will take place on 17 June 2022 at 4pm in Joseph Black:B419 Main LT (University of Glasgow). The details are as follows:

Title: Equivalence relations, topology and C*-algebras

Speaker: Professor Lisa Orloff-Clark (Victoria University of Wellington, New Zealand)

Date and time: 17 June 2022, 16:00 -- 17:00 BST

Location: Joseph Black B419 Main LT (University of Glasgow)

Abstract: C*-algebras provide the mathematical underpinnings of quantum mechanics. They have a rich theory that has been developed over the last century. In 1943, Gelfand and Naimark showed that every C*-algebra is isomorphic to a subalgebra of operators on a Hilbert space. So, in the finite dimensional setting, the study of C*-algebras is essentially the study of matrices. Yet even with this powerful theorem, an abstract C*-algebra can be a complicated beast and understanding basic properties can be difficult. In this talk we describe how to build a C*-algebra from an equivalence relation so that one can see properties of the algebra by looking at properties of the equivalence relation. To get a robust class of C*-algebras in this way, we will consider equivalence relations on topological spaces. This talk will include several examples and assumes no C*-algebraic background.

Registration: If you would like to attend, please contact the local organiser: Xin Li (xin.li@glasgow.ac.uk).

A poster with more information and background about the Aitken Lectureship is attached. Moreover, we plan to run the event in hybrid mode, so that it will also be possible to join via zoom (see below for details).

Zoom Joining Details:

https://uofglasgow.zoom.us/j/94142132332?pwd=Rlo2Vkd5OEk0Mko0cTA2ZUo4RlcrUT09
Meeting ID: 941 4213 2332
Passcode: 926298