A note on ultraproducts of crossed product C*algebras (2505.11871v1)

Abstract: We study the relationship between the ultraproduct of a crossed product C*algebra $(A\rtimes_{r}G)^{\omega}$ and the crossed product of an ultraproduct C*algebra $A^{\omega}\rtimes _{r}G$ for a fixed free ultrafilter $\omega$ on $\mathbb{N}$.