4 papers
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…
Approximately Macroscopically Unique States and Quantum Mechanics
Huaxin Lin, Hang Wang
We show that Mumford's Approximately Macroscopically Unique (AMU) states exist for quantum systems consisting of unbounded self-adjoint operators when the commutators are small. In…
-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…
Euler characteristics, higher Kazhdan projections and delocalised -Betti numbers
Sanaz Pooya, Baiying Ren, Hang Wang
For non-amenable finitely generated virtually free groups, we show that the combinatorial Euler characteristic introduced by Emerson and Meyer is the preimage of the K-theory class…