### Abstract

Any unital *-endomorphism of a type II_{1}-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 language | English |
---|---|

Pages (from-to) | 343-354 |

Number of pages | 12 |

Journal | Journal of the Australian Mathematical Society |

Volume | 60 |

Issue number | 3 |

Publication status | Published - Jun 1 1996 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

_{1}-factors and Cuntz algebras.

*Journal of the Australian Mathematical Society*,

*60*(3), 343-354.

**Endomorphisms of type II _{1}-factors and Cuntz algebras.** / Enomoto, Masatoshi; Watatani, Yasuo.

Research output: Contribution to journal › Article

_{1}-factors and Cuntz algebras',

*Journal of the Australian Mathematical Society*, vol. 60, no. 3, pp. 343-354.

_{1}-factors and Cuntz algebras. Journal of the Australian Mathematical Society. 1996 Jun 1;60(3):343-354.

}

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 -