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Liu, Zhengwei; Wu, Jinsong

Uncertainty principles for Kac algebras. (English) Zbl 1364.81021

J. Math. Phys. 58, No. 5, 052102, 12 p. (2017).
Summary: In this paper, we introduce the notation of bi-shift of biprojections in subfactor theory to unimodular Kac algebras. We characterize the minimizers of the Hirschman-Beckner uncertainty principle and the Donoho-Stark uncertainty principle for unimodular Kac algebras with biprojections and prove Hardy’s uncertainty principle in terms of the minimizers.{
©2017 American Institute of Physics}

Cited in 6 Documents

MSC:

81P05 General and philosophical questions in quantum theory
81S05 Commutation relations and statistics as related to quantum mechanics (general)
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
94A17 Measures of information, entropy
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
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References:

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