Infinite loop G-spaces associated to monoidal G-graded categories

DOI10.2977/prims/1195173610zbMath0677.55013OpenAlexW2085102004MaRDI QIDQ1123442

Kazuhisa Shimakawa

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173610

zbMATH Keywords

equivariant classifying spacesdeloopingsequivariant K-groups

Mathematics Subject Classification ID

Related Items (25)

Homology operations in the topological cyclic homology of a point ⋮ Continuous functors as a model for the equivariant stable homotopy category ⋮ Equivariant loops on classifying spaces ⋮ Categorical models for equivariant classifying spaces ⋮ Equivariant iterated loop space theory and permutative \(G\)-categories ⋮ Higher topological cyclic homology and the Segal conjecture for tori ⋮ On distributivity in higher algebra I: the universal property of bispans ⋮ Global algebraic K‐theory ⋮ On the global homotopy theory of symmetric monoidal categories ⋮ Multiplicative equivariant \(K\)-theory and the Barratt-Priddy-Quillen theorem ⋮ Proper Equivariant Stable Homotopy Theory ⋮ Genuine versus naïve symmetric monoidal \(G\)-categories ⋮ EQUIVARIANT CALCULUS OF FUNCTORS AND-ANALYTICITY OF REAL ALGEBRAIC -THEORY ⋮ Diagrams encoding group actions on Γ-spaces ⋮ A symmetric monoidal and equivariant Segal infinite loop space machine ⋮ Mackey structures on equivariant algebraic \(K\)-theory ⋮ Mackey systems of monoidal categories and \(G\)-spectra ⋮ Equivariant algebraic \(K\)-theory of \(G\)-rings ⋮ Units of equivariant ring spectra ⋮ Universal Equivariant Bundles ⋮ The cyclotomic trace and algebraic K-theory of spaces ⋮ \(K\)-theory of Hermitian Mackey functors, real traces, and assembly ⋮ Constructing equivariant spectra via categorical Mackey functors ⋮ Equivariant stable categories for incomplete systems of transfers ⋮ Note on the equivariant \(K\)-theory spectrum

Cites Work

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• The spectra associated to permutative categories
• On the G-homotopy types of G-ANR's
• Fibrations
• Delooping symmetric monoidal categories
• Homology fibrations and the 'group-completion' theorem
• Smooth equivariant triangulations of G-manifolds for G a finite group
• Categories and cohomology theories
• Homotopy invariant algebraic structures on topological spaces
• Microbundles and smoothing
• Partitions of unity in the theory of fibrations
• The homotopy limit problem
• Systems of Fixed Point Sets
• Homotopy colimits in the category of small categories
• HYPER-Γ-SPACES AND HYPERSPECTRA
• Universal Equivariant Bundles

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