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Analysis of free products of the general linear groups GL2(Qp) and Hecke algebras H(GL2(Qp)) over primes p
Book chapter

Analysis of free products of the general linear groups GL2(Qp) and Hecke algebras H(GL2(Qp)) over primes p

Ilwoo Cho and Palle E Jorgensen
Representation Theory and Harmonic Analysis on Symmetric Spaces, Vol.714, pp.23-75
Contemporary Mathematics, 714, American Mathematical Society
2018
DOI: 10.1090/conm/714

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Abstract

The main purposes of this paper are (i) to study a certain embedded sub-structure S of the free product C∗-algebra HP generated by Hecke algebras H(Gp) over primes p, (ii) to obtain free-probabilisitc characterizations of the generating operators of S,implying number-theoretic data, and (iii) to apply the results from (i) and (ii) to C∗-dynamical systems.
Mathematics

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