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On the Euler characteristic of the orbit space of a proper \(\Gamma\)-complex - MaRDI portal

On the Euler characteristic of the orbit space of a proper \(\Gamma\)-complex (Q1567118)

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scientific article; zbMATH DE number 1455436
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On the Euler characteristic of the orbit space of a proper \(\Gamma\)-complex
scientific article; zbMATH DE number 1455436

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    On the Euler characteristic of the orbit space of a proper \(\Gamma\)-complex (English)
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    18 December 2000
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    This work is devoted to provide a proof of a formula for the Euler characteristic of the orbit space of a \(G\)-finite \(G\)-CW-complex in terms of equivariant Euler characteristics. The proof involves the Hochschild homology of \(G\) with coefficients in the cellular chain complex \(C_*(X,\mathbb Q)\) and gives some remarks on finite group actions, regarding finite \(G\)-complexes.
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    equivariant CW-complex
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    projective module
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