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# Operator Algebra and Noncommutative Geometry Seminar Series

## November 7, 2019 @ 3:30 pm - 4:30 pm

##### Speaker

Dr Jamie Gabe (UOW)

##### Title

The nuclear dimension of $O_\infty$-stable C*-algebras

##### Abstract

Nuclear dimension is a non-commutative analogue of the covering dimension of compact, Hausdorff spaces, and separable C*-algebra which have finite nuclear dimension are (more or less) the C*-algebras expected to be classifiable by K-theory and traces. I will survey some of the theory surrounding nuclear dimension, with emphasis on a computation of the nuclear dimension for $O_\infty$-stable C*-algebras. This is joint work with Joan Bosa, Aidan Sims, and Stuart White.