%0 Journal Article %T M$\ddot{o}$bius Disjointness for Exact C$^*$ Algebras %A Jinsong Wu %A Wei Yuan %J Mathematics %D 2014 %I arXiv %X In this paper we introduce the M\"obius disjointness for C$^*$-algebras with their automorphisms and studied the M\"obius disjointness for finite dimensional C$^*$ algebras, finite von Neumann algebras, reduced free group algebra and canonical anticommutation relation algebra etc. %U http://arxiv.org/abs/1404.4916v2