A complete description is provided for the unitary normalizer of the diagonal Cartan subalgebra D2 in the 2-adic ring C*-algebra Q2, which generalizes and unifies analogous results for Cuntz and Bunce-Deddens algebras. Furthermore, the inclusion O2⊂Q2 is proved not to be regular. Finally, countably many novel permutative endomorphisms of Q2 are exhibited with prescribed images of the generator U.
Normalizers and permutative endomorphisms of the 2-adic ring C*-algebra / Aiello, V.; Conti, R.; Rossi, S.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 481:1(2020), p. 123395. [10.1016/j.jmaa.2019.123395]
Normalizers and permutative endomorphisms of the 2-adic ring C*-algebra
Aiello V.;Conti R.;
2020
Abstract
A complete description is provided for the unitary normalizer of the diagonal Cartan subalgebra D2 in the 2-adic ring C*-algebra Q2, which generalizes and unifies analogous results for Cuntz and Bunce-Deddens algebras. Furthermore, the inclusion O2⊂Q2 is proved not to be regular. Finally, countably many novel permutative endomorphisms of Q2 are exhibited with prescribed images of the generator U.| File | Dimensione | Formato | |
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