Normalizers and permutative endomorphisms of the 2-adic ring C*-algebra

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:481

Article

Aiello, Valeriano¹  Conti, Roberto²  Rossi, Stefano³ 

[1] Univ Geneva, Sect Math, 2-4 Rue Lievre,Case Postale 64, CH-1211 Geneva 4, Switzerland

[2] Sapienza Univ Roma, Dipartimento Sci Base & Appl Ingn, Via A Scarpa 16, I-00161 Rome, Italy

[3] Univ Roma Tor Vergata, Dipartimento Math, Via Ric Sci 1, I-00133 Rome, Italy

关键词: 2-adic ring C*-algebra;    Normalizers;    Automorphism group;    Permutative endomorphisms;    Cuntz algebra;   

DOI  :  10.1016/j.jmaa.2019.123395

来源: Elsevier

【 摘 要 】

A complete description is provided for the unitary normalizer of the diagonal Cartan subalgebra D-2 in the 2-adic ring C*-algebra Q(2), which generalizes and unifies analogous results for Cuntz and Bunce-Deddens algebras. Furthermore, the inclusion O-2 subset of Q(2) is proved not to be regular. Finally, countably many novel permutative endomorphisms of Q(2) are exhibited with prescribed images of the generator U. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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