Operator Theory Seminar
“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.