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arXiv · 1608.02086

$C^*$-algebras generated by the paths semigroup

Suren Grigoryan·Tamara Grigoryan·Ekaterina Lipacheva·Airat Sitdikov
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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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BibTeXRIS

Suren Grigoryan, Tamara Grigoryan, Ekaterina Lipacheva, Airat Sitdikov. 2016-08-06. $C^*$-algebras generated by the paths semigroup. https://arxiv.org/abs/1608.02086

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