Hermitian algebraic K-theory of simplicial rings and topological spaces

zbMath0597.18006MaRDI QIDQ1078656

Dan Burghelea, Zbigniew Fiedorowicz

Publication date: 1985

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

homotopy invariantfixed homotopy typeHermitian algebraic K-theorymoduli spaces of topological manifoldssimplicial group ringsimplicial rings with involutionsymmetric-antisymmetric splittingsWall-Witt theory

Mathematics Subject Classification ID

Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Topological manifolds (57N99)

Related Items (10)

On the relative Wall-Witt groups ⋮ An involution on the \(K\)-theory of bimonoidal categories with anti-involution ⋮ Noncommutative geometry and theoretical physics ⋮ Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics ⋮ The Volodin model for Hermitian algebraic \(K\)-theory ⋮ Relative Hermitian algebraic \(K\)-theory and dihedral homology ⋮ Hermitian structures on \(A_{\infty{}}\) ring spaces ⋮ Hermitian \(K\)-theory of \(A_{\infty{}}\) rings. Homotopy invariance and the hyperbolic map ⋮ Homologies diédrale et quaternionique. (Dihedral and quaternionic homology) ⋮ \(K\)-theory of Hermitian Mackey functors, real traces, and assembly

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