Uncertainty Principles for Kac Algebras

Abstract

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.

15 pages

References in corpus (3)

• Noncommutative Uncertainty Principles
• The Fourier transform in quantum group theory
• An uncertainty principle for unimodular quantum groups

Cited by in corpus (2)

• Quantum Fourier Analysis
• Entropic uncertainty relations under localizations on discrete quantum groups