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Noncommutative Geometry Seminar - Sam Evington

Noncommutative Geometry Seminar
January 15, 2019
1:50 pm - 2:50 pm
TBA

Title: Nuclear dimension of simple C*-algebras

Speaker: Sam Evington (University of Glasgow)

Abstract: The nuclear dimension of a C*-algebra, introduced by Winter and Zacharias, is a non-commutative generalisation of the covering dimension of a topological space. Whilst any non-negative integer or infinity can be realised as the nuclear dimension of some commutative C*-algebra, the nuclear dimension of a simple C*-algebra must be either 0,1 or infinity. This trichotomy is just one application of my joint work on the Toms--Winter Conjecture with Castillejos, Tikuisis, White, and Winter. In this talk, I will outline our results, their further applications, and the crucial new idea at the heart of our proof (Complemented Partitions of Unity).

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