Uncertainty principles for Kac algebras

Zhengwei Liu, Jinsong Wu
2017 Journal of Mathematical Physics  
In this paper, we introduce the notation of bi-shift of biprojections in subfactor theory to unimodular Kac algebras. We characterize the minimizers of Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle for unimodular Kac algebras with biprojections and prove Hardy's uncertainty principle in terms of minimizers.
doi:10.1063/1.4983755 fatcat:ch6q7grxd5hytbecolmpvot2u4