On vanishing of L2-Betti numbers for groups
キーワード:
amenable,
L2-Betti number,
L2-Euler characteristic,
\\mathcal{C}-exact,
weak \\mathcal{C}-exact
2007 年 59 巻 4 号 p. 1031-1044
詳細
2007 年 59 巻 4 号 p. 1031-1044
We show that if a group G admits a finite dimensional contractible G-CW-complex X then the vanishing of the L2-Betti numbers for all stabilizers Gσ of X determines that of the L2-Betti numbers for G. We also give a relation among the L2-Euler characteristics for X as a G-CW-complex and those for X as a Gσ-CW-complex under certain assumptions. Finally, we present a new class of groups satisfying the Chatterji-Mislin conjecture which amounts to putting Brown’s formula within the framework of L2-homology.
この記事は最新の被引用情報を取得できません。
