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MR2080121 (2005g:58055) 58J42 (11G30 11M36 14G40 37B99 46L55 46L87 58B34) Consani, Caterina; Marcolli, Matilde Noncommutative geometry, dynamics, and $\infty$-adic Arakelov geometry. Selecta Math. (N.S.) 10 (2004), no. 2, 167--251.

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