HOMOTOPY FIXED POINTS FOR LK(n)(En ∧X) USING THE CONTINUOUS ACTION
نویسنده
چکیده
Let K(n) be the nth Morava K-theory spectrum. Let En be the Lubin-Tate spectrum, which plays a central role in understanding LK(n)(S 0), the K(n)-local sphere. For any spectrum X, define E∨(X) to be the spectrum LK(n)(En ∧ X). Let G be a closed subgroup of the profinite group Gn, the group of ring spectrum automorphisms of En in the stable homotopy category. We show that E∨(X) is a continuous G-spectrum, with homotopy fixed point spectrum (E∨(X))hG. Also, we construct a descent spectral sequence with abutment π∗((E∨(X))hG).
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