## Abstract

H. Dye defined certain projections P_{i} _{,} _{j}(a) of a C^{∗} -matrix algebra M_{n}(A), and he used it to prove that any isomorphism between unitary groups of von Neumann factors is implemented by a ∗ -isomorphism. In this paper we study actions of some ∗ -isomorphism on the projections P_{i} _{,} _{j}(a). Indeed, we deduce results related to the Cuntz algebras and its unitary groups.

Original language | English |
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Title of host publication | Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021 |

Editors | Luigi Accardi, Farrukh Mukhamedov, Ahmed Al Rawashdeh |

Publisher | Springer |

Pages | 291-303 |

Number of pages | 13 |

ISBN (Print) | 9783031061691 |

DOIs | |

Publication status | Published - 2022 |

Event | 41st International Conference on Quantum Probability and Related Topics, QP41 2021 - Al Ain, United Arab Emirates Duration: Mar 28 2021 → Apr 1 2021 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 390 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Conference

Conference | 41st International Conference on Quantum Probability and Related Topics, QP41 2021 |
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Country/Territory | United Arab Emirates |

City | Al Ain |

Period | 3/28/21 → 4/1/21 |

## ASJC Scopus subject areas

- Mathematics(all)

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