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20052026
most citedBost-Connes-Marcolli systems for Shimura varieties. I. Definitions and formal analytic properties

8 citations · 8 across the 3 of their papers we have counts for

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math.OA2015

Fredholm modules and the Beilinson-Bloch regulator

Eugene Ha, Victor Kasatkin

We prove an operator-theoretic reconstruction of the Beilinson-Bloch regulator for compact Riemann surfaces, using loop operators and the Connes-Karoubi character for Fredholm modu…

math.OA2005★ 8 cited

Bost-Connes-Marcolli systems for Shimura varieties. I. Definitions and formal analytic properties

Eugene Ha, Frederic Paugam

We construct a quantum statistical mechanical system analogous to the systems constructed by Bost-Connes and Connes-Marcolli in the case of Shimura varieties. Along the way…