A look at the inner structure of the 2-adic ring \(C^*\)-algebra and its automorphism groups

DOI10.4171/PRIMS/54-1-2zbMath1396.46048arXiv1604.06290MaRDI QIDQ1707956

Valeriano Aiello, Roberto Conti, Stefano Rossi

Publication date: 4 April 2018

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06290

zbMATH Keywords

automorphism group\(C^*\)-algebraCartan subalgebraouter automorphismgauge actiondyadic integersmaximal abelian self-adjoint subalgebra2-adic ring \(C^*\)-algebraBogoljubov automorphism

Mathematics Subject Classification ID

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

Related Items (6)

Unnamed Item ⋮ On the cyclic automorphism of the Cuntz algebra and its fixed-point algebra ⋮ Groups of isometries of the Cuntz algebras ⋮ Normalizers and permutative endomorphisms of the 2-adic ring \(C^\ast\)-algebra ⋮ A Fejér theorem for boundary quotients arising from algebraic dynamical systems ⋮ On the entropy and index of the winding endomorphisms of $p$-adic ring $C^*$-algebras

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