On rank of von Neumann special flows
Abstract
We prove that special flows over an ergodic rotation of the circle under a C1 roof function with one discontinuity do not have local rank one. In particular, any such flow has infinite rank.
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We prove that special flows over an ergodic rotation of the circle under a C1 roof function with one discontinuity do not have local rank one. In particular, any such flow has infinite rank.