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A note on the equivariant Dold–Thom theorem

✍ Scribed by Pedro F. dos Santos


Book ID
104152655
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
203 KB
Volume
183
Category
Article
ISSN
0022-4049

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✦ Synopsis


In this note we prove a version of the classical Dold-Thom theorem for the RO(G)-graded equivariant homology functors H G * (-; M ), where G is a ÿnite group, M is a discrete Z[G]-module, and M is the Mackey functor associated to M . In the case where M =Z with the trivial G-action, our result says that, for a G-CW-complex X , and for a ÿnite dimensional G-representation V, there is a natural isomorphism

where Z0(X ) denotes the free abelian group on X .


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