Endomorphisms of type II1-factors and Cuntz algebras

Masatoshi Enomoto, Yasuo Watatani

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.

Original languageEnglish
Pages (from-to)343-354
Number of pages12
JournalJournal of the Australian Mathematical Society
Volume60
Issue number3
Publication statusPublished - Jun 1 1996

Fingerprint

Cuntz Algebra
Endomorphisms
Endomorphism
Conjugacy
Unital
Isometry
Generator
Algebra
Integer
Range of data

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Endomorphisms of type II1-factors and Cuntz algebras. / Enomoto, Masatoshi; Watatani, Yasuo.

In: Journal of the Australian Mathematical Society, Vol. 60, No. 3, 01.06.1996, p. 343-354.

Research output: Contribution to journalArticle

Enomoto, Masatoshi ; Watatani, Yasuo. / Endomorphisms of type II1-factors and Cuntz algebras. In: Journal of the Australian Mathematical Society. 1996 ; Vol. 60, No. 3. pp. 343-354.
@article{2a6ecee68097431b95b8f8382e469a16,
title = "Endomorphisms of type II1-factors and Cuntz algebras",
abstract = "Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.",
author = "Masatoshi Enomoto and Yasuo Watatani",
year = "1996",
month = "6",
day = "1",
language = "English",
volume = "60",
pages = "343--354",
journal = "Journal of the Australian Mathematical Society",
issn = "1446-7887",
publisher = "Cambridge University Press",
number = "3",

}

TY - JOUR

T1 - Endomorphisms of type II1-factors and Cuntz algebras

AU - Enomoto, Masatoshi

AU - Watatani, Yasuo

PY - 1996/6/1

Y1 - 1996/6/1

N2 - Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.

AB - Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.

UR - http://www.scopus.com/inward/record.url?scp=0039926572&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039926572&partnerID=8YFLogxK

M3 - Article

VL - 60

SP - 343

EP - 354

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

SN - 1446-7887

IS - 3

ER -