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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…