C*-algebra generated by the paths semigroup
| Autor: | A. S. Sitdikov, Suren Grigoryan, Ekaterina Lipacheva, Tamara Grigoryan |
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| Rok vydání: | 2016 |
| Předmět: |
Mathematics::Combinatorics
Mathematics::Operator Algebras Semigroup General Mathematics 010102 general mathematics Structure (category theory) 01 natural sciences Algebra Inverse semigroup Cuntz algebra 0103 physical sciences Ideal (order theory) 010307 mathematical physics 0101 mathematics Representation (mathematics) Partially ordered set Quotient Mathematics |
| Zdroj: | Lobachevskii Journal of Mathematics. 37:740-748 |
| ISSN: | 1818-9962 1995-0802 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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