Ring structure on localization telescopes

Remark 8.4.7. Combining Corollary 8.4.5 with Lemma 8.4.6 for \(M=R\), the telescope \[ R[s^{-1}] = \colim \bigl (R\xrightarrow {\ s\ }R[-d] \xrightarrow {\ s\ }R[-2d]\longrightarrow \cdots \bigr ) \] is a commutative ring spectrum, the map \(R\to R[s^{-1}]\) is a morphism of commutative ring spectra, and \[ \pi _*(R[s^{-1}])\cong \pi _*(R)[s^{-1}]. \]