Endomorphisms of \(\mathcal O_n\) which preserve the canonical UHF-subalgebra

DOI10.1016/j.jfa.2010.03.027zbMath1202.46075arXiv0910.1304OpenAlexW1992498807MaRDI QIDQ982506

Mikael Rørdam, Roberto Conti, Wojciech Szymański

Publication date: 7 July 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1304

zbMATH Keywords

automorphismCuntz algebraendomorphismgauge action

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (12)

The restricted Weyl group of the Cuntz algebra and shift endomorphisms ⋮ On endomorphisms of the Cuntz algebra which preserve the canonical UHF-subalgebra. II. ⋮ Unnamed Item ⋮ When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional? ⋮ Visualizing Automorphisms of Graph Algebras ⋮ AUTOMORPHISMS OF THE UHF ALGEBRA THAT DO NOT EXTEND TO THE CUNTZ ALGEBRA ⋮ The Weyl group of the Cuntz algebra ⋮ Endomorphisms of graph algebras ⋮ Groups of isometries of the Cuntz algebras ⋮ Normalizers and permutative endomorphisms of the 2-adic ring \(C^\ast\)-algebra ⋮ Yang–Baxter endomorphisms ⋮ On normalizers of \(C^*\)-subalgebras in the Cuntz algebra \({\mathcal O}_n\). II

Cites Work

• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Simple \(C^*\)-algebras generated by isometries
• Remarks on the index of endomorphisms of Cuntz algebras
• Labeled trees and localized automorphisms of the Cuntz algebras
• The crossed product of a UHF algebra by a shift
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Classification of inductive limits of Cuntz algebras.
• More localized automorphisms of the Cuntz algebras
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