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K-Theory Methods in Solid State Physics.

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Τίτλος: K-Theory Methods in Solid State Physics.
Συγγραφείς: Sergeev, Armen1 (AUTHOR) sergeev@mi-ras.ru
Πηγή: Acta Mathematica Sinica. Mar2026, Vol. 42 Issue 3, p583-602. 20p.
Θεματικοί όροι: *K-theory, *Solid state physics, *Representation theory, *Quantization (Physics), *Operator algebras, *Clifford algebras, *C*-algebras
Περίληψη: 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. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1007/s10114-026-4634-7
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  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=14398516&ISBN=&volume=42&issue=3&date=20260301&spage=583&pages=583-602&title=Acta Mathematica Sinica&atitle=K-Theory%20Methods%20in%20Solid%20State%20Physics.&aulast=Sergeev%2C%20Armen&id=DOI:10.1007/s10114-026-4634-7
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  Data: K-Theory Methods in Solid State Physics.
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  Data: <searchLink fieldCode="AR" term="%22Sergeev%2C+Armen%22">Sergeev, Armen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sergeev@mi-ras.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mathematica+Sinica%22">Acta Mathematica Sinica</searchLink>. Mar2026, Vol. 42 Issue 3, p583-602. 20p.
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  Data: *<searchLink fieldCode="DE" term="%22K-theory%22">K-theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Solid+state+physics%22">Solid state physics</searchLink><br />*<searchLink fieldCode="DE" term="%22Representation+theory%22">Representation theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Quantization+%28Physics%29%22">Quantization (Physics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Operator+algebras%22">Operator algebras</searchLink><br />*<searchLink fieldCode="DE" term="%22Clifford+algebras%22">Clifford algebras</searchLink><br />*<searchLink fieldCode="DE" term="%22C*-algebras%22">C*-algebras</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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        Value: 10.1007/s10114-026-4634-7
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      – Code: eng
        Text: English
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      – SubjectFull: K-theory
        Type: general
      – SubjectFull: Solid state physics
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      – SubjectFull: Representation theory
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      – SubjectFull: Quantization (Physics)
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              Text: Mar2026
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              Y: 2026
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