Limit automorphisms of the \(C^\ast\)-algebras generated by isometric representations for semigroups of rationals

DOI10.1134/S0037446618010093zbMath1401.46037OpenAlexW2791782526MaRDI QIDQ1642303

Renat N. Gumerov

Publication date: 20 June 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446618010093

zbMATH Keywords

automorphisminductive limitsolenoidToeplitz algebrasequence of primesinductive sequencelimit endomorphismsemigroup \(C^\ast\)-algebrasemigroup of rationals

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Projective and injective objects in functional analysis (46M10) Automorphisms of selfadjoint operator algebras (46L40) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (12)

On covering groups ⋮ Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras ⋮ 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 a topology and limits for inductive systems of \(C^\ast \)-algebras over partially ordered sets ⋮ On the Stone-Čech compactification functor and the normal extensions of monoids ⋮ On inductive limits for systems of \(C^\ast\)-algebras ⋮ Limits of inductive sequences of Toeplitz-Cuntz algebras ⋮ Inductive limits for systems of Toeplitz algebras ⋮ Embedding semigroup \(C^\ast\)-algebras into inductive limits

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