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Uncertainty principles for Kac algebras

Zhengwei Liu, Jinsong Wu
2017 Journal of Mathematical Physics  

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2016 pre-print arXiv:1606.00051v1 fatcat:dbeaceownbgyzjvqu34c4mnwfq
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
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Zhengwei Liu, Jinsong Wu. "Uncertainty principles for Kac algebras." Journal of Mathematical Physics 58.5 (2017) 052102