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Yamasaki, Masayuki

L-groups of crystallographic groups. (English) Zbl 0622.57022

Invent. Math. 88, 571-602 (1987).
Let \(\Lambda\) be a finitely generated group mapping onto a crystallographic group of rank n with finite kernel. The main result of the paper shows that Quinn’s assembly map yields an isomorphism modulo 2- torsion between the homology groups \(H_*({\mathbb{R}}/\Lambda; {\mathbb{L}}(p))\) with spectral sheaf coefficients and the L-groups \(L_*^{- \infty}(\Lambda)\).
Reviewer: M.Kolster

Cited in 2 Reviews
Cited in 11 Documents

MSC:

57R67 Surgery obstructions, Wall groups
20H15 Other geometric groups, including crystallographic groups

Keywords:

finitely generated group; crystallographic group; assembly map; L-groups
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\textit{M. Yamasaki}, Invent. Math. 88, 571--602 (1987; Zbl 0622.57022)
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References:

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