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Higher Kazhdan projections and delocalized \\(^2\\)-Betti numbers for an amalgamated product group
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Higher Kazhdan projections and delocalized \\(^2\\)-Betti numbers for an amalgamated product group
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Paper
Higher Kazhdan projections and delocalized \\(^2\\)-Betti numbers for an amalgamated product group
2025
Overview
We establish explicit expressions for the \\(K\\)-theory classes of higher Kazhdan projections for amalgamated product groups \\(Z_m*_Z_dZ_n\\). Our approach follows the methodology developed by Pooya and Wang for free product groups \\(Z_m*Z_n\\), and naturally generalizes their results on free products. As an application of the \\(K\\)-class expressions, we obtain non-vanishing results for delocalized \\(^2\\)-Betti numbers of \\(SL(2,Z)\\).
Publisher
Cornell University Library, arXiv.org
Subject
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