This is a note on Radulescu’s work taken by N. Ozawa. We first review the construction of the classical Hecke operator and recall the Ramanujan–Petersson conjecture about its spectrum. We then relate it to the study of a type II1 factor via Berezin calculus.

Radulescu, F. (2014). Free Group Factors and Hecke Operators. In D. Timotin (a cura di), The Varied Landscape of Operator Theory (pp. 241-257). Bucharest : Theta Foundation.

Free Group Factors and Hecke Operators

RADULESCU, FLORIN
2014

Abstract

This is a note on Radulescu’s work taken by N. Ozawa. We first review the construction of the classical Hecke operator and recall the Ramanujan–Petersson conjecture about its spectrum. We then relate it to the study of a type II1 factor via Berezin calculus.
Settore MAT/05 - Analisi Matematica
English
Rilevanza internazionale
Capitolo o saggio
Hecke algebras, Ramanujan–Petersson conjectures, type I I1 factors, completely positive maps
Radulescu, F. (2014). Free Group Factors and Hecke Operators. In D. Timotin (a cura di), The Varied Landscape of Operator Theory (pp. 241-257). Bucharest : Theta Foundation.
Radulescu, F
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/100659
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