We prove that the arithmetic Hecke operators are completely positive maps with respect to the Berezin's quantization deformation product of functions on H/Gamma. We then show that the associated subfactor defined by the Connes's correspondence associated to the completely positive map has integer index and graph A(infinity). The same construction for PSL(3, Z) gives a finite index subfactor of L(PSL(3, Z)) of infinite depth.

Radulescu, F. (1996). Arithmetic Hecke operators as completely positive maps. COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE, 322(6), 541-546.

Arithmetic Hecke operators as completely positive maps

RADULESCU, FLORIN
1996-01-01

Abstract

We prove that the arithmetic Hecke operators are completely positive maps with respect to the Berezin's quantization deformation product of functions on H/Gamma. We then show that the associated subfactor defined by the Connes's correspondence associated to the completely positive map has integer index and graph A(infinity). The same construction for PSL(3, Z) gives a finite index subfactor of L(PSL(3, Z)) of infinite depth.
1996
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Hecke operators, subfactors, completely positive maps
Radulescu, F. (1996). Arithmetic Hecke operators as completely positive maps. COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE, 322(6), 541-546.
Radulescu, F
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
Hecke.pdf

accesso aperto

Licenza: Copyright dell'editore
Dimensione 160.18 kB
Formato Adobe PDF
160.18 kB Adobe PDF Visualizza/Apri
heckepape322Comptes_rendus_de_l'Académie_des_[...]Académie_des_bpt6k9922141.pdf

accesso aperto

Licenza: Copyright dell'editore
Dimensione 1.23 MB
Formato Adobe PDF
1.23 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/171396
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 1
social impact