## Illinois Journal of Mathematics

### Finite dimensional point derivations for graph algebras

Benton L. Duncan

#### Abstract

This paper focuses on finite dimensional point derivations for the non-self-adjoint 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 noninner derivations. We also analyze the situation when the derivation corresponds to a multiplicative linear functional.

#### Article information

Source
Illinois J. Math., Volume 52, Number 2 (2008), 419-435.

Dates
First available in Project Euclid: 23 July 2009

https://projecteuclid.org/euclid.ijm/1248355342

Digital Object Identifier
doi:10.1215/ijm/1248355342

Mathematical Reviews number (MathSciNet)
MR2524644

Zentralblatt MATH identifier
1191.47085

#### Citation

Duncan, Benton L. Finite dimensional point derivations for graph algebras. Illinois J. Math. 52 (2008), no. 2, 419--435. doi:10.1215/ijm/1248355342. https://projecteuclid.org/euclid.ijm/1248355342

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