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A survey of algebraic actions of the discrete Heisenberg group

A survey of algebraic actions of the discrete Heisenberg group

The study of actions of countable groups by automorphisms of compact abelian groups has recently undergone intensive development, revealing deep connections with operator algebras and other areas. The discrete Heisenberg group is the simplest noncommutative example, where dynamical phenomena related to its noncommutativity already illustrate many of these connections. The …