Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues - MaRDI portal

Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues (Q902293)

From MaRDI portal





scientific article; zbMATH DE number 6527623
Language Label Description Also known as
English
Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues
scientific article; zbMATH DE number 6527623

    Statements

    Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues (English)
    0 references
    0 references
    8 January 2016
    0 references
    Summary: This article generalizes the \textit{A. Żuk}'s criterion for property (T) [C. R. Acad. Sci., Paris, Sér. I 323, No. 5, 453--458 (1996; Zbl 0858.22007)] and gives new criteria for property (T) (and for vanishing of higher \(L^2\)-cohomologies).
    0 references
    property (T)
    0 references
    cohomology
    0 references
    simplicial complex
    0 references
    Laplacian
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references