The Brauer spectrum conjecture for complex K-theory

Let $KU$ be complex topological $K$-theory, let $\operatorname{br}(KU)$ be its Brauer spectrum, and let ${}_4I_{\mathbb{Z}}$ denote the relevant truncation of the Anderson dual of the sphere spectrum.

Brauer spectrum conjecture. There is an equivalence

$$\operatorname{br}(KU)[0,4]\simeq{}_4I_{\mathbb{Z}}.$$

In particular,

$$\pi_0(\operatorname{br}(KU))\cong\mathbb{Z}/24.$$

The conjecture is motivated by the identification of truncated Picard spectra with truncated Anderson duals and by the fact that $\pi_{-4}(I_{\mathbb{Z}})\cong\mathbb{Z}/24$. It predicts the low-degree homotopy type of the Brauer spectrum, beyond the already understood relation between units, Picard spectra, and Brauer spectra.