Periodic points of solenoidal automorphisms in terms of inverse limits

Abstract

In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also.

Keywords

• solenoid
• periodic points
• inverse limits
• pontryagin dual