Data:	Mercoledì 12 Marzo 2008, ore 16.00
Luogo:	Aula Dal Passo, Dip. Matematica, U. Roma "Tor Vergata"
Speaker:	Florin Rădulescu, Univ. Roma "Tor Vergata"
Titolo:	TYPE II1 VON NEUMANN REPRESENTATIONS FOR HECKE OPERATORS ON MAASS FORMS AND INEQUALITIES FOR THEIR EIGENVALUES
Abstract:	We prove that classical Hecke operators on Maass forms are a special case of completely positive maps on II1 factors, associated to a pair of isomorphic subfactors. This representation induces several matrix inequalities on the eigenvalues of the Hecke operators on Maass forms. These inequalities are the consequence of a "double" action of the Hecke algebra which can be seen only in the type II1 representation. The classical Hecke operators are then a "diagonal" of this double action.