A compact quantum semigroup generated by an isometry

DOI10.3103/S1066369X11100100zbMath1237.46049MaRDI QIDQ647916

M. A. Aukhadiev, E. V. Lipacheva, Suren A. Grigoryan

Publication date: 21 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Toeplitz algebraweak Hopf algebraquantum semigroup

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (5)

Automorphisms of some subalgebras of the Toeplitz algebra ⋮ An example of a cosimple and co-commutative compact quantum semigroup ⋮ A semigroup \(C^\ast\)-algebra which is a free Banach module ⋮ The structure of \(C^\ast\)-subalgebras of the Toeplitz algebra fixed with respect to a finite group of automorphisms ⋮ The structure of invariant ideals of some subalgebras of Toeplitz algebra

Cites Work

• Unnamed Item
• \(C^\ast\)-algebras generated by mappings
• \(C^*\)-algebras generated by semigroups
• Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
• A kind of compact quantum semigroups
• \(AF\)-subalgebras of a \(C^*\)-algebra generated by a mapping

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