The ideal theory of Leavitt path algebras

Kulumani Rangaswamy (U Colorado)

Wednesday 29th September, 2010 16:00-17:00 204

Abstract

Leavitt path algebras were introduced in 2005 as algebraic analogues of the graph C*-algebras and has become an active topic research during the last few years. I shall give an account of some of my recent joint-work in which a number of ring theoretical properties of a Leavitt path algebra L_K(E)of a directed graph E over a field K can be characterized by appropriate graph-theoretical properties of E. This theory is relatively young and, naturally, there are many open problems about the algebraic structure of L_K(E) and its connection to C*-algebras. I shall discuss some of them.

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