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K-Theory Methods in Solid State Physics

delete2026-03-01
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PRE
AI
S
Sergeev, Armen *
DOI:10.1007/s10114-026-4634-7delete
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Abstract

Abstract

En 中文
This paper is a review of K-theory methods in solid state physics. Our goal is to demonstrate that K-theory is a natural language for the mathematical description of solid bodies. Our main tool is the K-theory of C*-algebras. We follow Kitaev's idea that the symmetry algebras of solid bodies belong to the class of Clifford algebras which reduces the quantization problem for solid states to the representation theory of Clifford algebras.
Keywords:
C*-algebras
Fredholm K-theory
Nambu space
Clifford algebras
BB-correspondence

Journal

A
ACTA MATHEMATICA SINICA-ENGLISH SERIES
IF:
0.9
Papers:
90
Citations:
0

Organization

R
russian academy of sciences
Scholars:
8.9W
Papers: 5.9W
Citations: 60