On Cartan Subalgebras in Inductive Limits

Ali Raad

Monday 27th September 17:00-18:00 Maths 311B

Abstract

In this talk I will present the main results of my PhD. I will discuss Cartan subalgebras and Renault's characterisation of them in separable C*-algebras, and show how this can be generalized to the non-separable setting. I will introduce the notion
 of an inductive limit Cartan subalgebra and discuss the existence and uniqueness of them in the classes of AF, AI, AT and more general AX-algebras.

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