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Let $G$ be a profinite group, $X$ a discrete $G$-spectrum with trivialaction, and $X^{hG}$ the continuous homotopy fixed points. For any $N\trianglelefteq_o G$ ("$o$" for open), $X = X^N$ is a $G/N$-spectrum withtrivial action. We construct a zigzag $\text{colim}\,_N \,X^{hG/N}\buildrel\Phi\over\longrightarrow \text{colim}\,_N \,(X^{hN})^{hG/N}\buildrel\Psi\over\longleftarrow X^{hG}$, where $\Psi$ is a weak equivalence.When $\Phi$ is a weak equivalence, this zigzag gives an interesting model for$X^{hG}$ (for example, its Spanier-Whitehead dual is $\text{holim}\,_N\,F(X^{hG/N}, S^0)$). We prove that this happens in the following cases: (1)$|G| < \infty$; (2) $X$ is bounded above; (3) there exists $\{U\}$ cofinal in$\{N\}$, such that for each $U$, $H^s_c(U, \pi_\ast(X)) = 0$, for $s > 0$.Given (3), for each $U$, there is a weak equivalence $X\buildrel\simeq\over\longrightarrow X^{hU}$ and $X^{hG} \simeq X^{hG/U}$. Forcase (3), we give a series of corollaries and examples. As one instance of afamily of examples, if $p$ is a prime, $K(n_p,p)$ the $n_p$th Morava $K$-theory$K(n_p)$ at $p$ for some $n_p \geq 1$, and $\mathbb{Z}_p$ the $p$-adicintegers, then for each $m \geq 2$, (3) is satisfied when $G \leqslant \prod_{p\leq m} \mathbb{Z}_p$ is closed, $X = \bigvee_{p > m} (H\mathbb{Q} \veeK(n_p,p))$, and $\{U\} := \{N_G \mid N_G \trianglelefteq_o G\}$.

A lift from group cohomology to spectra for trivial profinite actions