Finite dimensional point derivations for graph algebras

Details Finite dimensional point derivations for graph algebras Finite dimensional point derivations for graph algebras

2006-08-22

arxiv.org/abs/math/0608548v1

Illinois Journal of Mathematics 52 (2009), 419-435.

Mathematics

Operator Algebras

18 pages

Scientific paper

This paper focuses on certain finite dimensional point derivations for the non-selfadjoint operator algebras corresponding to directed graphs. We begin by analyzing the derivations corresponding to full matrix representations of the tensor algebra of a directed graph. We determine when such a derivation is inner, and describe situations that give rise to non-inner derivations. We also analyze the situation when the derivation corresponds to a multiplicative linear functional.

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