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Operator Algebra and Noncommutative Geometry Seminar Series

June 21, 2017 @ 3:30 pm - June 22, 2017 @ 4:30 pm

Title

Mauldin-Williams graphs and their operator algebras

Speaker

Michael Mampusti (University of Wollongong)
Time and Date: 3:30pm-4:30pm Thursday, 15 June 2017​
Location: Room 39C.174

Abstract

In this talk, we explore the origins of the study of Mauldin-Williams graphs, and the operator algebras associated to them. We first look at iterated function systems, introduced by Hutchinson, as a mathematical model for the study of fractals, using the Sierpinski triangle as one of our examples. We then realise Mauldin-Williams graphs, introduced by Mauldin and Williams, as a generalisation of iterated function systems, and briefly look how we can study substitution tilings in this framework. From here, we look some of the operator algebras associated to Mauldin-Williams graphs by Ionescu, and Ionescu and Watatani, and finish off with why these algebras might be interesting by calculating their KMS state structure.

Details

Start:
June 21, 2017 @ 3:30 pm
End:
June 22, 2017 @ 4:30 pm
Events Category:
Events Tags:
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Organiser

Institute for Mathematics & its Applications
Email:
asierako@uow.edu.au
Website:
http://imia.uow.edu.au

Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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