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Urs
Urs
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Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local spectrum with an $BK$$G$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local equivalence.

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local spectrum with an $BK$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local equivalence.

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local spectrum with an $G$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local equivalence.

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Urs
Urs
  • 21
  • 3

Homotopy groups of homotopy fixed points of a $\mathbb{Z}[\frac\left[\frac{1}{|G|\lvert G\rvert}]$\right]$-local orthogonal spectrum

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}[\frac{1}{|G|}]$$\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local spectrum with an $BK$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}[\frac{1}{|G|}]$$\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local equivalence.

Homotopy groups of homotopy fixed points of a $\mathbb{Z}[\frac{1}{|G|}]$-local orthogonal spectrum

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}[\frac{1}{|G|}]$-local spectrum with an $BK$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}[\frac{1}{|G|}]$-local equivalence.

Homotopy groups of homotopy fixed points of a $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local orthogonal spectrum

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local spectrum with an $BK$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}\left[\frac{1}{\lvert G\rvert}\right]$-local equivalence.

Source Link
Urs
Urs
  • 21
  • 3

Homotopy groups of homotopy fixed points of a $\mathbb{Z}[\frac{1}{|G|}]$-local orthogonal spectrum

Let $G$ be a finite group and $X$ an orthogonal $\mathbb{Z}[\frac{1}{|G|}]$-local spectrum with an $BK$-action that is trivial on $\pi_*X$.

I want to show that then the map $X^{hG} \to X$ from the homotopy fixed points is a $\mathbb{Z}[\frac{1}{|G|}]$-local equivalence.