Mackey structures on equivariant algebraic K-theory
Copyright policy )Mackey structures on equivariant algebraic K-theory
Let \(G\) be a finite group. In [Publ. Res. Inst. Math. Sci. 25, No. 2, 239-262 (1989; Zbl 0677.55013)] the author has constructed a machine for generating \(G\)-spectra from pairs of symmetric monoidal \(G\)-graded categories; the machine uses what are called special \(\Gamma_ G\)- spaces. In this paper the author describes the Mackey structures on the \(G\)-cohomology theories generated by this machine. They generally agree with earlier definitions of equivariant higher algebraic \(K\)-theory.
special \(\Gamma_ G\)-spaces, algebraic \(K\)-theory, equivariant, Symmetric monoidal categories, Equivariant homotopy theory in algebraic topology
special \(\Gamma_ G\)-spaces, algebraic \(K\)-theory, equivariant, Symmetric monoidal categories, Equivariant homotopy theory in algebraic topology
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