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You can see the arrows in a quiver operator algebra

Part of: Linear spaces and algebras of operators Topological (rings and) algebras with an involution

Published online by Cambridge University Press:  09 April 2009

Baruch Solel
Baruch Solel
Affiliation:
Department of Mathematics, Technion, Haifa 32000, Israel e-mail: [email protected]
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Abstract

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We prove that two quiver operator algebras can be isometrically isomorphic only if the quivers (=directed graphs) are isomorphic. We also show how the graph can be recovered from certain representations of the algebra.

Keywords

C*-correspondencetensor algebraquiverfree semigroup algebrafree semigroupoid algebrisomorphismdirected graph

MSC classification

Secondary: 47L55: Representations of (nonselfadjoint) operator algebras 47L75: Other nonselfadjoint operator algebras 46K50: Nonselfadjoint (sub)algebras in algebras with involution
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 1 , August 2004 , pp. 111 - 122
Copyright
Copyright © Australian Mathematical Society 2004

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