A quantum probabilistic approach to Hecke algebras for $\mathfrak{p}$-adic ${\mathrm{PGL}}_2$

Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1

The subject of the present paper is an application of quantum probability to $p$-adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for ${\…