Higher equivariant \(K\)-theory for finite group actions

DOI10.1215/S0012-7094-91-06317-9zbMath0738.55002MaRDI QIDQ1179171

Angelo Vistoli

Publication date: 26 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(G\)-manifoldequivariant algebraic \(K\)-theoryregular scheme

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47)

Related Items (18)

Additive invariants of orbifolds ⋮ Motivic homotopy theory of group scheme actions ⋮ Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks ⋮ Atiyah-Segal theorem for Deligne-Mumford stacks and applications ⋮ Symmetric quotient stacks and Heisenberg actions ⋮ Stringy K-theory and the Chern character ⋮ \(K\)-theory and the singularity category of quotient singularities ⋮ Riemann-Roch for equivariant \(K\)-theory ⋮ A Lefschetz formula in equivariant algebraic \(K\)-theory ⋮ Recent developments on noncommutative motives ⋮ Virtual equivariant Grothendieck-Riemann-Roch formula ⋮ Orbifold Cohomology as Periodic Cyclic Homology ⋮ G-theory of root stacks and equivariant \(K\)-theory ⋮ Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups ⋮ Orbifold products for higher \(K\)-theory and motivic cohomology ⋮ Higher algebraic \(K\)-theory of group actions with finite stabilizers ⋮ The Chow groups and the motive of the Hilbert scheme of points on a surface ⋮ Categorical measures for finite group actions

Cites Work

• On the Euler number of an orbifold
• Algebraic K-theory of generalized free products. I
• Higher algebraic K-theory: I
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