On C*-algebras, Hilbert C*-modules, and their Applications to Time-Frequency Analysis

30.06.2021 14:00 - 15:30

Arvin Lamando Dela Cruz

In this talk, we give an overview of C*-algebras needed to discuss Hilbert C^*-modules. In particular, we are interested in the so-called Morita equivalence bimodules. These bimodules facilitate the equivalences between two C^*-algebras. In a 2005 paper, F. Luef has made the crucial observation that one can construct a Morita equivalence bimodule between noncommutative tori using the Feichtinger's algebra-- called the Heisenberg (bi)module. We will go through the construction of this equivalence bimodule, and look at the techniques involved that interweave time-frequency analysis and operator algebras. We end with a theorem that characterizes (multi-window) Gabor frames and finitely-generated Heinsenberg modules.



Zoom link

We kindly ask you to use your full name



J. L. Romero, K. Groechenig