You can see the arrows in a quiver operator algebra

By B. Solel. Journal of the Australian Mathematical Society, 2003

71 citations recorded by the source corpus.

Abstract 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.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8df675daee7feb1098e449f2c0e94bc76a025083

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. David W. Kribs
2. K. Davidson
3. Elias G. Katsoulis

In Geometry and Topology

1. K. Davidson
2. Elias G. Katsoulis
3. David W. Kribs

In Mathematical Physics

1. K. Davidson
2. Elias G. Katsoulis
3. David W. Kribs
4. B. Solel
5. Orr Shalit
6. Gelu Popescu
7. Adam H. Fuller
8. E. Kakariadis

Citations in the corpus

• Isomorphisms of algebras associated with directed graphs (2003, background): “For free semigroupoid algebras associated with locally finite directed graphs with no sinks, the graph forms an invariant for algebraic isomorphisms as well.”
• Isomorphisms between topological conjugacy algebras (2006, methodology): “Such representations were first used in the study of classification problems by the second author and Kribs [11] (see also [25]).”
• Operator Algebras for Multivariable Dynamics (2007, background): “A first effort to address the periodic case was the study of isomorphisms between graph algebras [22, 28, 50].”