Genuine‐commutative structure on rational equivariant K$K$‐theory for finite abelian groups

DOI10.1112/blms.12616zbMath1529.55016arXiv2104.01079OpenAlexW4280513041MaRDI QIDQ6133389

Christy Hazel, Jocelyne Ishak, Magdalena Kędziorek, Clover May, Anna Marie Bohmann

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01079

zbMATH Keywords

rigidityuniqueness propertyrational \(K\)-theorycommutative equivariant ring spectra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Equivariant (K)-theory (19L47)

Cites Work

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• Operadic multiplications in equivariant spectra, norms, and transfers
• Splitting monoidal stable model categories
• An algebraic model for rational naïve-commutative \(G\)-equivariant ring spectra for finite \(G\)
• Graded Tambara functors
• Encoding equivariant commutativity via operads
• An algebraic model for rational \(G\)-spectra over an exceptional subgroup
• Multiplicativity of the idempotent splittings of the Burnside ring and the \(G\)-sphere spectrum
• Incomplete Tambara functors
• Stable model categories are categories of modules
• Combinatorial \(N_\infty\) operads
• \(N_\infty \)-operads and associahedra
• Naive-commutative ring structure on rational equivariant \(K\)-theory for abelian groups
• An algebraic model for commutative \(H\mathbb{Z}\)-algebras
• Equivariant K-theory
• On the nonexistence of elements of Kervaire invariant one
• Homologie singulière des espaces fibrés. Applications
• Genuine equivariant operads
• HZ -algebra spectra are differential graded algebras
• Rational Equivariant Rigidity
• Fixed Set Systems of Equivariant Infinite Loop Spaces
• Generalized Tate cohomology
• $E_\infty $-ring structures for Tate spectra
• An Introduction to Algebraic Models for Rational G–Spectra
• Idempotent characters and equivariantly multiplicative splittings of K‐theory
• The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors

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