This research establishes expressions for Kazhdan projections and finds nonvanishing ℓ2-Betti numbers in amalgamated groups, indicating important topological properties.
We establish explicit expressions for the ‐theory classes of higher Kazhdan projections for amalgamated product groups . Our approach follows the methodology developed by Pooya and Wang for free product groups , and naturally generalizes their results on free products. As an application of the ‐class expressions, we obtain nonvanishing results for delocalized ‐Betti numbers of .
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Baiying Ren (2026) studied this question.
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