Zimmer's Conjecture is a hypothesis in ergodic theory that suggests the existence of rigidity phenomena for actions of higher rank groups. It proposes that certain group actions, particularly those related to semi-simple Lie groups, exhibit a form of rigidity that constrains their behaviors under various dynamical systems. This conjecture ties together concepts from both algebra and dynamics, making it a significant point of interest in the study of ergodic theory and related mathematical fields.
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