Operator Theory Seminar

December 5, 2017 - 1:30pm
309 VAN

“Labeled Leavitt Algebras (Finiteness Conditions – and More)” by Professor Richard Baker , Department of Mathematics, The University of Iowa

Abstract:  We introduce, over arbitrary fields, Labeled Leavitt Path Algebras associated to labeled graphs. We state the Direct Sum Uniqueness Theorem for these algebras. We define Finiteness Conditions for such algebras. Using the direct sum uniqueness theorem, we show that certain labeled Leavitt path algebras that satisfy these finiteness conditions are algebraically isomorphic to the (plain) Leavitt path algebra of the underlying directed graph of the labeled graph.