Illinois Journal of Mathematics

Finite dimensional point derivations for graph algebras

Benton L. Duncan

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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.

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

First available in Project Euclid: 23 July 2009

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Zentralblatt MATH identifier

Primary: 47L40: Limit algebras, subalgebras of $C^*$-algebras
Secondary: 47L55: Representations of (nonselfadjoint) operator algebras 47L75: Other nonselfadjoint operator algebras 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]


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

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