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

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.Non UBCUnreviewedAuthor affiliation: University of HoustonFacult