# American Institute of Mathematical Sciences

July  2007, 1(3): 425-442. doi: 10.3934/jmd.2007.1.425

## Global rigidity of certain Abelian actions by toral automorphisms

 1 IMERL-Facultad de Ingeniería, Universidad de la República, ulio Herrera y Reissig 565, CC 30, 11300 Montevideo, Uruguay

Received  June 2006 Revised  March 2007 Published  April 2007

We prove global rigidity results for some linear abelian actions on tori. The type of actions we deal with includes in particular maximal rank semisimple actions on $\mathbb T^N$.
Citation: Federico Rodriguez Hertz. Global rigidity of certain Abelian actions by toral automorphisms. Journal of Modern Dynamics, 2007, 1 (3) : 425-442. doi: 10.3934/jmd.2007.1.425
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