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

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BORIS DOI
10.48350/151259
Publisher DOI
10.1016/j.jmaa.2019.123395
Description
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.
Date of Publication
2020-01-01
Publication Type
Article
Subject(s)
500 Science > 510 Mathematics
Keyword(s)
2-adic ring C∗-algebra
•
Normalizers
•
Automorphism group
•
Permutative endomorphisms
•
Cuntz algebra
Language(s)
en
Contributor(s)
Aiello, Valeriano
Mathematisches Institut
Conti, Roberto
Rossi, Stefano
Additional Credits
Mathematisches Institut
Series
Journal of mathematical analysis and applications
Publisher
Elsevier
ISSN
0022-247X
Access(Rights)
restricted
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