Proof of Kitaev determinant trivialization conjecture
Abstract
Using ideas from algebraic K K -theory, we prove that a simple and naturally applicable criterion of Kitaev suffices to trivialize the Fredholm determinant of a multiplicative commutator.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 16 July 2026
- Language
- EN