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math.KT2026
Higher Kazhdan projections for one relator groups
Sanaz Pooya, Baiying Ren, Hang Wang
We study the -theory classes of higher Kazhdan projections of a discrete group under a spectral-gap assumption and recall how they are obtained, via the Baum--Connes assembly ma…
math.KT2026
The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings
Liang Guo, Hang Wang, Xiufeng Yao
In this paper, we generalize the Dirac-dual-Dirac method to Hecke pairs with equivariant coarse embeddings and establish the K-theoretic isomorphisms between the maximal and reduce…
math.KT2025
-Theory of Adelic and Rational Group -algebras via Generalized Winding Numbers
Wenqing Wu, Hang Wang
We take the following approach to analyze homotopy equivalence in periodic adelic functions. First, we introduce the concept of pre-periodic functions and define their homotopy inv…