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BIRS Workshop Lecture Videos

Classification of Leavitt path algebras: How to use tools from the classification of C∗-algebras in the Algebra setting Tomforde, Mark

Description

One of the main programs in the theory of C∗-algebras is to classify C∗-algebras using invariants from K-theory. In this talk I’ll discuss how similar efforts have been attempted for noncommutative algebras, particularly the Leavitt path algebras of a directed graph. These classification results have connections with the symbolic dynamics of the directed graph, and I will discuss the successes, limitations, and current status of these efforts.

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Attribution-NonCommercial-NoDerivs 2.5 Canada