𝐿²-cohomology of buildings with fundamental class

Dymara, Jan

doi:10.1090/S0002-9939-03-07234-4

$L^2$-cohomology of buildings with fundamental class
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by Jan Dymara

Proc. Amer. Math. Soc. 132 (2004), 1839-1843

DOI: https://doi.org/10.1090/S0002-9939-03-07234-4

Published electronically: October 15, 2003

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Abstract:

For an infinite building whose Davis chamber is an orientable, gallery connected pseudomanifold (with boundary), we calculate the top- dimensional $L^2$-Betti number. This gives a complete determination of $L^2$-Betti numbers for 2-dimensional, right-angled hyperbolic buildings.

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