On inductive limits for systems of \(C^\ast\)-algebras

DOI10.3103/S1066369X18070083zbMath1406.46033OpenAlexW2810322866MaRDI QIDQ1794389

T. A. Grigoryan, E. V. Lipacheva, Renat N. Gumerov

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x18070083

zbMATH Keywords

topologypartially ordered setToeplitz algebracovariant functorsemigroup \(C^\ast\)-algebradirect product of \(C^\ast\)-algebrasinductive limit for an inductive system of \(C^\ast\)-algebras

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 (10)

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 ⋮ Limits of inductive sequences of Toeplitz-Cuntz algebras ⋮ On graded semigroup \(C^*\)-algebras and Hilbert modules ⋮ Inductive limits for systems of Toeplitz algebras ⋮ Embedding semigroup \(C^\ast\)-algebras into inductive limits

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