2 problems

0 votes0 replies2 views
Nonexistence conjecture for KMS states of the GSp₄-system at β = 1 and β = 3
Let the $GSp_{4}$ -system be the dynamical system under consideration, and let a $\textmd{KMS}_\beta$ state mean a KMS state at inverse temperature $\beta$ . The two cases in questio…
Conjectureopenbost-connes-systems kms-states siegel-modular-varietiesarXiv posted 2 days ago
0 votes0 replies0 views
Bost–Connes system reconstruction conjecture for number fields
Let $K$ and $L$ be number fields, and let $A_K$ and $A_L$ denote their associated Bost–Connes systems. Bost–Connes reconstruction conjecture. The Bost–Connes systems $A_K$ and…
Conjectureopenbost-connes-systems number-fields operator-algebrasarXiv posted 2 days ago

Nonexistence conjecture for KMS states of the GSp₄-system at β = 1 and β = 3