Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras | Zendy

Ilwoo Cho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Ilwoo Cho

Publication year - 2015

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2016.36.2.153

Subject(s) - mathematics , pure mathematics , probabilistic logic , free probability , hecke algebra , group (periodic table) , hilbert space , construct (python library) , space (punctuation) , algebra over a field , statistics , chemistry , organic chemistry , linguistics , philosophy , computer science , programming language

In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), 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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research