On automorphisms of C*-algebras whose Voiculescu entropy is genuinely noncommutative

TL;DR

This paper demonstrates that for a generic shift on a C*-algebra linked to a bitstream, the Voiculescu entropy exceeds the maximum entropy of its classical subsystems, highlighting noncommutative dynamical complexity.

Contribution

It establishes that in a broad class of C*-algebra shifts, the Voiculescu entropy is genuinely noncommutative and larger than classical subsystem entropies.

Findings

Voiculescu entropy is strictly larger than classical subsystem entropies for generic shifts.

The results leverage the work of Neshveyev and Stormer.

Highlights the noncommutative nature of certain C*-algebra automorphisms.

Abstract

We use the results of Neshveyev and Stormer to show that for a generic shift on a C*-algebra associated to a bitstream the Voiculescu topological entropy is strictly larger that the supremum of topological entropies of its classical subsystems.