### Abstract

We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras _{β} on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(F_{r}). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.

Original language | English |
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Pages (from-to) | 1397-1404 |

Number of pages | 8 |

Journal | Proceedings of the American Mathematical Society |

Volume | 128 |

Issue number | 5 |

Publication status | Published - Dec 1 2000 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*128*(5), 1397-1404.

**A relation between certain interpolated cuntz algebras and interpolated free group factors.** / Ueda, Yoshimichi; Watatani, Yasuo.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 128, no. 5, pp. 1397-1404.

}

TY - JOUR

T1 - A relation between certain interpolated cuntz algebras and interpolated free group factors

AU - Ueda, Yoshimichi

AU - Watatani, Yasuo

PY - 2000/12/1

Y1 - 2000/12/1

N2 - We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.

AB - We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.

UR - http://www.scopus.com/inward/record.url?scp=23044520336&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044520336&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044520336

VL - 128

SP - 1397

EP - 1404

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -