Rational magnetic equivariant K-theory
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929748256489472 |
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| author | Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. |
| author_facet | Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. |
| contents | We introduce the magnetic equivariant K-theory groups as the K-theory groups associated to magnetic groups and their respective magnetic equivariant complex bundles. We restrict the magnetic group to its subgroup of elements that act complex linearly, and we show that this restriction induces a rational isomorphism with the conjugation invariant part of the complex equivariant K-theory of the restricted group. This isomorphism allows to calculate the torsion free part of the magnetic equivariant K-theory groups reducing it to known calculations in complex equivariant K-theory |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational magnetic equivariant K-theory Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. K-Theory and Homology Materials Science 19L47 We introduce the magnetic equivariant K-theory groups as the K-theory groups associated to magnetic groups and their respective magnetic equivariant complex bundles. We restrict the magnetic group to its subgroup of elements that act complex linearly, and we show that this restriction induces a rational isomorphism with the conjugation invariant part of the complex equivariant K-theory of the restricted group. This isomorphism allows to calculate the torsion free part of the magnetic equivariant K-theory groups reducing it to known calculations in complex equivariant K-theory |
| title | Rational magnetic equivariant K-theory |
| topic | K-Theory and Homology Materials Science 19L47 |
| url | https://arxiv.org/abs/2412.04603 |