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math.OA2026
Higher Kazhdan projections and delocalised -Betti numbers
Sanaz Pooya, Hang Wang
We provide an explicit description of the K-classes of higher Kazhdan projections in degrees greater than 0 for specific free product groups and Cartesian product groups. Employing…
math.OA2025
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…
math.OA2025
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…