Dans cet article nous étendons une construction de Bost-Connes, au cas d’un corps de nombres quelconque, d’un -système dynamique à brisure spontanée de symétrie et fonction de partition la fonction zêta de Riemann.
In this paper we extend to arbitrary number fields a construction of Bost-Connes of a -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.
@article{JTNB_1999__11_1_15_0, author = {Cohen, Paula B.}, title = {A $C^\ast $-dynamical system with {Dedekind} zeta partition function and spontaneous symmetry breaking}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {15--30}, publisher = {Universit\'e Bordeaux I}, volume = {11}, number = {1}, year = {1999}, mrnumber = {1730430}, zbl = {0962.11031}, language = {en}, url = {http://www.numdam.org/item/JTNB_1999__11_1_15_0/} }
TY - JOUR AU - Cohen, Paula B. TI - A $C^\ast $-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking JO - Journal de théorie des nombres de Bordeaux PY - 1999 SP - 15 EP - 30 VL - 11 IS - 1 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_1999__11_1_15_0/ LA - en ID - JTNB_1999__11_1_15_0 ER -
%0 Journal Article %A Cohen, Paula B. %T A $C^\ast $-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking %J Journal de théorie des nombres de Bordeaux %D 1999 %P 15-30 %V 11 %N 1 %I Université Bordeaux I %U http://www.numdam.org/item/JTNB_1999__11_1_15_0/ %G en %F JTNB_1999__11_1_15_0
Cohen, Paula B. A $C^\ast $-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, pp. 15-30. http://www.numdam.org/item/JTNB_1999__11_1_15_0/
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