Embedding semigroup \(C^\ast\)-algebras into inductive limits

DOI10.1134/S1995080219050135zbMath1433.46034arXiv1905.06676OpenAlexW2955244707MaRDI QIDQ2319684

E. V. Lipacheva

Publication date: 20 August 2019

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

Full work available at URL: https://arxiv.org/abs/1905.06676

zbMATH Keywords

semigroupembeddinginductive limitpartially ordered setinductive systemToeplitz algebrareduced semigroup \(C^\ast\)-algebrainjective \(\ast\)-homomorphismupward directed set

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inductive and projective limits in functional analysis (46M40) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

Inductive sequences of Toeplitz algebras and limit automorphisms ⋮ Inductive systems of \(C^\ast\)-algebras over posets: a survey ⋮ On extensions of semigroups and their applications to Toeplitz algebras ⋮ Extensions of semigroups and morphisms of semigroup \(C^* \)-algebras ⋮ On the Stone-Čech compactification functor and the normal extensions of monoids ⋮ A semigroup \(C^\ast\)-algebra which is a free Banach module ⋮ Limits of inductive sequences of Toeplitz-Cuntz algebras ⋮ On graded semigroup \(C^*\)-algebras and Hilbert modules

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