$E_\infty $-ring structures for Tate spectra

DOI10.1090/S0002-9939-96-03194-2zbMath0866.55015OpenAlexW2148406132MaRDI QIDQ4890255

James E. McClure

Publication date: 24 July 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03194-2

zbMATH Keywords

equivariantring spectrum\(G\)-spectrumTate spectrum\(E_ \infty\) ring structure

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91)

Related Items (12)

An algebraic model for rational naïve-commutative ring \(SO(2)\)-spectra and equivariant elliptic cohomology ⋮ Encoding equivariant commutativity via operads ⋮ Operadic multiplications in equivariant spectra, norms, and transfers ⋮ Detecting and describing ramification for structured ring spectra ⋮ Genuine‐commutative structure on rational equivariant K$K$‐theory for finite abelian groups ⋮ The Jacobi orientation and the two-variable elliptic genus ⋮ Dyer-Lashof operations on Tate cohomology of finite groups. ⋮ Derived localisation of algebras and modules ⋮ Fixed point adjunctions for equivariant module spectra ⋮ Equivariant chromatic localizations and commutativity ⋮ \(G\)-symmetric monoidal categories of modules over equivariant commutative ring spectra ⋮ The localized slice spectral sequence, norms of real bordism, and the Segal conjecture

Cites Work

• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Homotopy limits, completions and localizations
• Generalized Tate cohomology

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