Eilenberg-MacLane spectrum of an abelian group

Definition 5.4.9. The spectrum \(\bB ^{\infty }A\) associated to an abelian group is called the Eilenberg–MacLane spectrum associated to \(A\), and is classically denoted by \(HA\). Because the functor \(\bB ^{\infty }\) is fully faithful, we will frequently treat it as an inclusion and abusively denote the Eilenberg–MacLane spectrum again by \(A\).