Permutative automorphisms of the Cuntz algebras: quadratic cycles, an involution and a box product

DOI10.1016/j.aam.2022.102447OpenAlexW4307729085MaRDI QIDQ2104906

Francesco Brenti, Roberto Conti, Gleb V. Nenashev

Publication date: 8 December 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2022.102447

zbMATH Keywords

stabilityenumerationpermutationrank

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Automorphisms of selfadjoint operator algebras (46L40) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• A new duality theory for compact groups
• Endomorphisms of \(C^*\)-algebras, cross products and duality for compact groups
• A class of C*-algebras and topological Markov chains
• K-theory for certain C*-algebras
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• The Weyl group of the Cuntz algebra
• Endomorphisms of graph algebras
• Permutations, tensor products, and Cuntz algebra automorphisms
• The restricted Weyl group of the Cuntz algebra and shift endomorphisms
• Labeled trees and localized automorphisms of the Cuntz algebras
• Iterated function systems and permutation representations of the Cuntz algebra
• Outer Automorphisms on Cuntz Algebras
• Visualizing Automorphisms of Graph Algebras
• More localized automorphisms of the Cuntz algebras

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