The restricted Weyl group of the Cuntz algebra and shift endomorphisms
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Publication:2898927
DOI10.1515/CRELLE.2011.125zbMath1283.46041arXiv1006.4791OpenAlexW2963068404MaRDI QIDQ2898927
Jeong Hee Hong, Wojciech Szymański, Roberto Conti
Publication date: 12 July 2012
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.4791
Noncommutative dynamical systems (46L55) Symbolic dynamics (37B10) Automorphisms of selfadjoint operator algebras (46L40)
Related Items (8)
Permutations, tensor products, and Cuntz algebra automorphisms ⋮ Unnamed Item ⋮ Visualizing Automorphisms of Graph Algebras ⋮ 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 ⋮ Permutative automorphisms of the Cuntz algebras: quadratic cycles, an involution and a box product
Cites Work
- Endomorphisms of \(\mathcal O_n\) which preserve the canonical UHF-subalgebra
- A class of C*-algebras and topological Markov chains
- Simple \(C^*\)-algebras generated by isometries
- Dynamical properties of expansive one-sided cellular automata
- Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
- Remarks on the index of endomorphisms of Cuntz algebras
- AUTOMORPHISMS OF THE UHF ALGEBRA THAT DO NOT EXTEND TO THE CUNTZ ALGEBRA
- ON THE ‘FLIP-FLOP’ AUTOMORPHISM OF C*(S1, S2)
- Characterization of inert actions on periodic points. Part I
- Characterization of inert actions on periodic points. Part II
- More localized automorphisms of the Cuntz algebras
- Endomorphisms and automorphisms of the shift dynamical system
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