For any countably infinite group admitting a nonzero real character, the wave equation on its reduced group C*-algebra has a unique solution given by a Fourier-type series.
One-parameter semigroups for linear evolution equations , volume
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The Wave Equation in the Context of Reduced Groups $C^*$-Algebras
For any countably infinite group admitting a nonzero real character, the wave equation on its reduced group C*-algebra has a unique solution given by a Fourier-type series.