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1 results

Visualizing Automorphisms of Graph Algebras
Part of
- Selfadjoint operator algebras
- Topological dynamics
James Emil Avery, Rune Johansen, Wojciech Szymański
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 1 / February 2018

Published online by Cambridge University Press:

01 February 2018, pp. 215-249
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Many fundamental properties of graph C*-algebras may be determined directly from the structure of the underlying graph, and because of this, they have been celebrated as C*-algebras that can be seen. This paper shows how permutative endomorphisms of graph C*-algebras can be represented by labelled directed multigraphs that give visual representations of the endomorphisms and facilitate computations. This formalism provides a useful calculus for permutative automorphisms and allows efficient exhaustive construction of such automorphisms.