C*-algebras of labelled graphs

Details C*-algebras of labelled graphs C*-algebras of labelled graphs

2005-03-18

arxiv.org/abs/math/0503374v1

Mathematics

Operator Algebras

Scientific paper

We describe a class of $C^*$-algebras which simultaneously generalise the
ultragraph algebras of Tomforde and the shift space $C^*$-algebras of
Matsumoto. In doing so we shed some new light on the different $C^*$-algebras
that may be associated to a shift space. Finally, we show how to associate a
simple $C^*$-algebra to an irreducible sofic shift.

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