Free probability on Hecke algebras and certain group C*-algebras induced by Hecke algebras

In this paper, by establishing free-probabilistic models on the Hecke algebras [formula] induced by p-adic number fields Qp, we construct free probability spaces for all primes p. Hilbert-space representations are induced by such free-probabilistic structures. We study C*-algebras induced by certain partial isometries realized under the representations.

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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.