Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
@Bertram Arnold: I mean that $\phi$ is $\mathbb{R}^{\times}$-equivariant with respect to the action and I don't know whether $\alpha_M$ is $\mathbb{R}^{\times}$-equivariant.