M$\ddot{o}$bius Disjointness for Exact C${}^{\ast }$ Algebras

Abstract

In this paper we introduce the Möbius disjointness for C${}^{\ast }$-algebras with their automorphisms and studied the Möbius disjointness for finite dimensional C${}^{\ast }$ algebras, finite von Neumann algebras, reduced free group algebra and canonical anticommutation relation algebra etc.