Mackey systems of monoidal categories and G-spectra |
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Authors: | Kazuhisa Shimakawa |
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Institution: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan |
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Abstract: | We construct an equivariant infinite loop space machine denned on certain class of monoidal O
G
-categories which have built-in Mackey structure. Applications include the equivariant infinite delooping of the classifying space BF(G) for stable spherical G-fibrations and also the construction of an infinite loop G-space E(X, G) with
0
HE
(X, G) naturally isomorphic to the equivariant Whitehead groups Wh
H
(X) of given G-space X.Dedicated to Professor Shôrô Araki on his sixtieth birthday |
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Keywords: | Mackey system of monoidal categories G-spectrum spherical G-fibration equivariant Whitehead group |
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