On Normalizers of C^∗-Subalgebras in the Cuntz Algebra O_n . II

Tomohiro Hayashi, Wojciech Szymanski

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We investigate subalgebras A of the Cuntz algebra O_n that arise as finite direct sums of corners of the UHF-subalgebra F_n. For such an A, we completely determine its normalizer group inside O_n.
OriginalsprogEngelsk
TidsskriftBanach Journal of Mathematical Analysis
Vol/bind9
Udgave nummer4
Sider (fra-til)379-383
ISSN1735-8787
DOI
StatusUdgivet - 2015

Fingeraftryk

Cuntz Algebra
Normalizer
Subalgebra
Direct Sum

Citer dette

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On Normalizers of C^∗-Subalgebras in the Cuntz Algebra O_n . II. / Hayashi, Tomohiro; Szymanski, Wojciech.

I: Banach Journal of Mathematical Analysis, Bind 9, Nr. 4, 2015, s. 379-383.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - On Normalizers of C^∗-Subalgebras in the Cuntz Algebra O_n . II

AU - Hayashi, Tomohiro

AU - Szymanski, Wojciech

PY - 2015

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AB - We investigate subalgebras A of the Cuntz algebra O_n that arise as finite direct sums of corners of the UHF-subalgebra F_n. For such an A, we completely determine its normalizer group inside O_n.

KW - Cuntz algebra

KW - normalizer

KW - relative commutant

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DO - 10.15352/bjma/09-4-18

M3 - Journal article

VL - 9

SP - 379

EP - 383

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

SN - 1735-8787

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