Add to ORKGFor a finite ��-group �� and a bounded below ��-spectrum �� of finite type mod ��, the ��-equivariant Segal conjecture for �� asserts that the canonical map ��^��→��^ℎ��, from ��-fixed points to ��-homotopy fixed points, is a ��-adic equivalence. Let ��_(��^��) be the cyclic group of order ��^��. We show that if the ��_��-equivariant Segal conjecture holds for a ��_(��^��)-spectrum ��, as well as for each of its geometric fixed point spectra Φ^(��_(��^��))(��) for 0\u3c��\u3c��, then the ��_(��^��)-equivariant Segal conjecture holds for ��. Similar results also hold for weaker forms of the Segal conjecture, asking only that the canonical map induces an equivalence in sufficiently high degrees, on homotopy groups with suitable finite coeffic...
We prove that the genuine $C_{2^n}$-spectrum $N_{C_{2}}^{C_{2^n}}MU_{\mathbb{R}}$ is cofree, for all...
AbstractLet K(n) be the nth Morava K-theory spectrum. Let En be the Lubin–Tate spectrum, which plays...
AbstractWe give a very general completion theorem for pro-spectra. We show that, if G is a compact L...
For a finite p-group G and a bounded below G-spectrum X of finite type mod p, the G-equivariant Sega...
Abstract. For a finite p-group G and a bounded below G-spectrum X of finite type mod p, the G-equiva...
We study the C_p-equivariant Tate construction on the topological Hochschild homology THH(B) of a sy...
homotopy type of BG, the classifying space of the finite group G. In one form it partly describes th...
AbstractWe prove structural theorems for computing the completion of a G-spectrum at the augmentatio...
AbstractWe formulate and prove a new variant of the Segal conjecture describing the group of homotop...
We study the continuous (co-)homology of towers of spectra, with emphasis on a tower with homotopy i...
Topological cyclic homology is a refinement of Connes--Tsygan's cyclic homology which was introduced...
We construct a map from the suspension $G$-spectrum $\Sigma_G^\infty M$ of a smooth compact $G$-mani...
AbstractLet G be a closed subgroup of the semi-direct product of the nth Morava stabilizer group Sn ...
In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant slic...
AbstractLet G be a cyclic group acting smoothly on a connected closed manifold M with nonempty fixed...
We prove that the genuine $C_{2^n}$-spectrum $N_{C_{2}}^{C_{2^n}}MU_{\mathbb{R}}$ is cofree, for all...
AbstractLet K(n) be the nth Morava K-theory spectrum. Let En be the Lubin–Tate spectrum, which plays...
AbstractWe give a very general completion theorem for pro-spectra. We show that, if G is a compact L...
For a finite p-group G and a bounded below G-spectrum X of finite type mod p, the G-equivariant Sega...
Abstract. For a finite p-group G and a bounded below G-spectrum X of finite type mod p, the G-equiva...
We study the C_p-equivariant Tate construction on the topological Hochschild homology THH(B) of a sy...
homotopy type of BG, the classifying space of the finite group G. In one form it partly describes th...
AbstractWe prove structural theorems for computing the completion of a G-spectrum at the augmentatio...
AbstractWe formulate and prove a new variant of the Segal conjecture describing the group of homotop...
We study the continuous (co-)homology of towers of spectra, with emphasis on a tower with homotopy i...
Topological cyclic homology is a refinement of Connes--Tsygan's cyclic homology which was introduced...
We construct a map from the suspension $G$-spectrum $\Sigma_G^\infty M$ of a smooth compact $G$-mani...
AbstractLet G be a closed subgroup of the semi-direct product of the nth Morava stabilizer group Sn ...
In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant slic...
AbstractLet G be a cyclic group acting smoothly on a connected closed manifold M with nonempty fixed...
We prove that the genuine $C_{2^n}$-spectrum $N_{C_{2}}^{C_{2^n}}MU_{\mathbb{R}}$ is cofree, for all...
AbstractLet K(n) be the nth Morava K-theory spectrum. Let En be the Lubin–Tate spectrum, which plays...
AbstractWe give a very general completion theorem for pro-spectra. We show that, if G is a compact L...