### 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 |

DOIs | |

Publication status | Published - 2000 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

Ueda, Y., & Watatani, Y. (2000). A relation between certain interpolated cuntz algebras and interpolated free group factors.

*Proceedings of the American Mathematical Society*,*128*(5), 1397-1404. https://doi.org/10.1090/s0002-9939-99-05470-2