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For questions about ring spectra (in homotopy theory).

6 votes
Accepted

Is the rank of free module spectra unique?

$\pi_0: Sp\to Ab$ is a direct sum preserving functor, and it sends $E_1$-ring spectra to rings, and modules over them to modules over them. In particular you get a functor $\pi_0: Mod_R\to Mod_{\pi_0( …
Maxime Ramzi's user avatar
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6 votes

How does one rigorously lift a map $Sp \rightarrow Sp$ of spectra to equivariant spectra?

Let $C$ be a complete $\infty$-category. Let $U:Fun(BC_n,C)\to C$ denote the forgetful functor, $\mathrm{CoInd}$ its right adjoint, and $(-)^{triv}$ the functor given by precomposition along $BC_n\to …
Maxime Ramzi's user avatar
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