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math.FA2025
Proof of Kitaev determinant trivialization conjecture
Guo Chuan Thiang
Using ideas from algebraic -theory, we prove that a simple and naturally applicable criterion of Kitaev suffices to trivialize the Fredholm determinant of a multiplicative commu…
math.KT2025
Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang
Inspired by parallel developments in coarse geometry in mathematics and exact macroscopic quantization in physics, we present a family of general trace formulae which are universal…