\(C^\ast\)-algebra generated by the paths semigroup

DOI10.1134/S1995080216060135zbMath1376.46041arXiv1608.02086OpenAlexW2964087125MaRDI QIDQ2361679

E. V. Lipacheva, T. A. Grigoryan, A. S. Sitdikov, Suren A. Grigoryan

Publication date: 30 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02086

zbMATH Keywords

Cuntz algebrapartially ordered set\(C^\ast\)-algebrainverse semigroupleft regular representationpartial isometry operator

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Inverse semigroups (20M18)

Related Items (9)

Inductive systems of \(C^\ast\)-algebras over posets: a survey ⋮ On extensions of semigroups and their applications to Toeplitz algebras ⋮ On a topology and limits for inductive systems of \(C^\ast \)-algebras over partially ordered sets ⋮ A semigroup \(C^\ast\)-algebra which is a free Banach module ⋮ On a class of graded ideals of semigroup \(C^\ast\)-algebras ⋮ Nets of graded $C^*$-algebras over partially ordered sets ⋮ On inductive limits for systems of \(C^\ast\)-algebras ⋮ Inductive limits for systems of Toeplitz algebras ⋮ Embedding semigroup \(C^\ast\)-algebras into inductive limits

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