Abstract
In this paper we study the structure of the C*-algebra, generated by the representation of the paths semigroup on a partially ordered set (poset) and get the net of isomorphic C*-algebras over this poset. We construct the extensions of this algebra, such that the algebra is an ideal in that extensions and quotient algebras are isomorphic to the Cuntz algebra.
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Submitted by A. M. Elizarov
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Grigoryan, S., Grigoryan, T., Lipacheva, E. et al. C*-algebra generated by the paths semigroup. Lobachevskii J Math 37, 740–748 (2016). https://doi.org/10.1134/S1995080216060135
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DOI: https://doi.org/10.1134/S1995080216060135