Thursday 13 December 2018 |

Events for day: Wednesday 12 September 2018 |

12:00 - 13:15 Analysis SeminarFrames in Hilbert $C^*$-modules School MATHEMATICS Whether every Hilbert $C^*$-module over a $C^*$-algebra $A$ admits a frame, is an interesting open question in Hilbert $C^*$-module theory. In general, the response to this question is negative and every Hilbert $C^*$-module over a commutative $C^*$-algebra $A$ admits a frame if and only if $A$ is a finite dimensional $C^*$-algebra. Indeed, the conjecture is that every Hilbert $C^*$-module over a $C^*$-algebra $A$ admits a frame, if and only if $A$ is a $C^*$-algebra of compact operators. The main purpose of this talk is to give a partially affirmative response to this conjecture, by considering the Elliott-Kawamura categorical approach to ... |