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

Tomohiro Hayashi, Wojciech Szymanski

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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.
Original languageEnglish
JournalBanach Journal of Mathematical Analysis
Volume9
Issue number4
Pages (from-to)379-383
ISSN1735-8787
DOIs
Publication statusPublished - 2015

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Cuntz Algebra
Normalizer
Subalgebra
Direct Sum

Keywords

  • Cuntz algebra
  • normalizer
  • relative commutant

Cite this

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title = "On Normalizers of C^∗-Subalgebras in the Cuntz Algebra O_n . II",
abstract = "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.",
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journal = "Banach Journal of Mathematical Analysis",
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On Normalizers of C^∗-Subalgebras in the Cuntz Algebra O_n . II. / Hayashi, Tomohiro; Szymanski, Wojciech.

In: Banach Journal of Mathematical Analysis, Vol. 9, No. 4, 2015, p. 379-383.

Research output: Contribution to journalJournal articleResearchpeer-review

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

AU - Hayashi, Tomohiro

AU - Szymanski, Wojciech

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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

U2 - 10.15352/bjma/09-4-18

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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