### Abstract

Given a sequence (pi(n)) of irreducible representations of a liminal C*-algebra A, and a sequence (b(n)) of trace class operators with b(n) is an element of pi(n)(A), we investigate necessary conditions and sufficient conditions for the existence of a simultaneous lifting a is an element of A such that, for each n, the trace of sigma(a) is bounded for irreducible representations sigma in a neighbourhood of pi(n).

Original language | English |
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Pages (from-to) | 195-204 |

Number of pages | 9 |

Journal | Glasgow Mathematical Journal |

Volume | 47 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2005 |

### Keywords

- LOWER MULTIPLICITY

## Cite this

Archbold, R. J., & Lazar, A. (2005). Simultaneous lifting from irreducible representations of

*C**-algebras.*Glasgow Mathematical Journal*,*47*(1), 195-204. https://doi.org/10.1017/S0017089504002162