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

Aiello, Valeriano; Conti, Roberto; Rossi, Stefano (2020). Normalizers and permutative endomorphisms of the 2-adic ring C*-algebra. Journal of mathematical analysis and applications, 481(1), p. 123395. Elsevier 10.1016/j.jmaa.2019.123395

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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 \subset Q2 is proved not to be regular. Finally, countably many novel permutative endomorphisms of Q2 are exhibited with prescribed
images of the generator U.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Aiello, Valeriano

Subjects:

500 Science > 510 Mathematics

ISSN:

0022-247X

Publisher:

Elsevier

Funders:

[4] Swiss National Science Foundation ; [18] European Research Council

Language:

English

Submitter:

Sebastiano Don

Date Deposited:

29 Jan 2021 14:38

Last Modified:

31 Jan 2021 02:59

Publisher DOI:

10.1016/j.jmaa.2019.123395

ArXiv ID:

1902.05773

Uncontrolled Keywords:

2-adic ring C∗-algebra, Normalizers, Automorphism group, Permutative endomorphisms, Cuntz algebra

BORIS DOI:

10.48350/151259

URI:

https://boris.unibe.ch/id/eprint/151259

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