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Results tagged with equivariant-homotopy
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user 8032
Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.
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Extensions of discrete groups by spectra
If $G$ is a discrete group, recall that a (naive) $G$-spectrum consists of based $G$-spaces $E_n$ together with based $G$-maps $\Sigma E_n \to E_{n+1}$, where we give the suspension coordinate the tri …
- 18.5k
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Naive Z/2-spectrum structure on E smash E?
Here's a very simple way to obtain $(E \wedge E)^{\Bbb Z_2}$ without having to resort to representations (at least if $E$ is connective). Consider the functor from spectra to spectra given by $$E \map …
- 18.5k
4
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homotopy invariant and coinvariant
I have a different way to approach to this sort of question which appears in the paper:
Klein, John R. The dualizing spectrum of a topological group. Math. Ann. 319 (2001), no. 3, 421–456
The above …
- 18.5k
2
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K-theory of free $G$-sets and the classifying space, and generalization
I believe you meant to write $Q(BG_+)$ in the first paragraph of your post, where $Q = \Omega^\infty\Sigma^\infty$. The this result is really a folk theorem and is sometimes called the "Barratt–Priddy …
- 18.5k