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MR1366621 (96m:46112) 46L35 (11M06 11R18 11Z05 20G30 82B10 82B26)
Bost, J.-B.; Connes, A. Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory. Selecta Math. (N.S.) 1 (1995), no. 3, 411–457.
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