Non-connective delooping of K-theory of an \(A_{\infty}\) ring space

DOI10.1007/BF02570722zbMath0659.55007MaRDI QIDQ1112378

Roland Schwaenzl, Richard John Steiner, Zbigniew Fiedorowicz, Rainer M. Vogt

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174113

zbMATH Keywords

\(A_{\infty }\)-ring spacesHermitian K-theory of \(A_{\infty }\)-ring spaces with involutionnonconnective delooping of K-theoryspaces of self homotopy equivalences of manifoldssuspension of rings

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Infinite loop spaces (55P47) Algebraic topology on manifolds and differential topology (57R19)

Related Items (3)

Linear representations of binate groups ⋮ A universal characterization of higher algebraic \(K\)-theory ⋮ Binate towers of groups

Cites Work

• Unnamed Item
• Delooping classifying spaces in algebraic K-theory
• Categories and cohomology theories
• Homotopy invariant algebraic structures on topological spaces
• Homotopy limits, completions and localizations
• A canonical operad pair
• Infinite loop structures on the algebraicK-theory of spaces
• Classifying spaces and fibrations

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