A Decomposition of Twisted Equivariant -Theory
For a finite group, a normalized 2-cocycle α ∈ ²(, ¹) and a -space on which a normal subgroup acts trivially, we show that the α-twisted -equivariant -theory of decomposes as a direct sum of twisted equivariant -theories of parametrized by the orbits of an action of on the set of irreducible α...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211308 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Decomposition of Twisted Equivariant -Theory. José Manuel Gómez and Johana Ramírez. SIGMA 17 (2021), 041, 20 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862654081602945024 |
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| author | Gómez, José Manuel Ramírez, Johana |
| author_facet | Gómez, José Manuel Ramírez, Johana |
| citation_txt | A Decomposition of Twisted Equivariant -Theory. José Manuel Gómez and Johana Ramírez. SIGMA 17 (2021), 041, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | For a finite group, a normalized 2-cocycle α ∈ ²(, ¹) and a -space on which a normal subgroup acts trivially, we show that the α-twisted -equivariant -theory of decomposes as a direct sum of twisted equivariant -theories of parametrized by the orbits of an action of on the set of irreducible α-projective representations of . This generalizes the decomposition obtained in [Gómez J.M., Uribe B., Internat. J. Math. 28 (2017), 1750016, 23 pages, arXiv:1604.01656] for equivariant K-theory. We also explore some examples of this decomposition for the particular case of the dihedral groups ₂ₙ with ≥ 2, an even integer.
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| first_indexed | 2026-03-15T17:50:32Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-211308 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T17:50:32Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
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| spelling | Gómez, José Manuel Ramírez, Johana 2025-12-29T11:08:10Z 2021 A Decomposition of Twisted Equivariant -Theory. José Manuel Gómez and Johana Ramírez. SIGMA 17 (2021), 041, 20 pages 1815-0659 2020 Mathematics Subject Classification: 19L50; 19L47 arXiv:2001.02164 https://nasplib.isofts.kiev.ua/handle/123456789/211308 https://doi.org/10.3842/SIGMA.2021.041 For a finite group, a normalized 2-cocycle α ∈ ²(, ¹) and a -space on which a normal subgroup acts trivially, we show that the α-twisted -equivariant -theory of decomposes as a direct sum of twisted equivariant -theories of parametrized by the orbits of an action of on the set of irreducible α-projective representations of . This generalizes the decomposition obtained in [Gómez J.M., Uribe B., Internat. J. Math. 28 (2017), 1750016, 23 pages, arXiv:1604.01656] for equivariant K-theory. We also explore some examples of this decomposition for the particular case of the dihedral groups ₂ₙ with ≥ 2, an even integer. The first author acknowledges and thanks the financial support provided by MINCIENCIAS through grant number FP44842-013-2018 of the Fondo Nacional de Financiamiento para la Ciencia, la Tecnología y la Innovación. The second author acknowledges and thanks the financial support provided by MINCIENCIAS through grant number 727 of the program Doctorados nacionales 2015 of the Fondo Nacional de Financiamiento para la Ciencia, la Tecnología y la Innovación. Additionally, the authors would like to thank the referees and the editor for providing useful comments that helped improve this manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Decomposition of Twisted Equivariant -Theory Article published earlier |
| spellingShingle | A Decomposition of Twisted Equivariant -Theory Gómez, José Manuel Ramírez, Johana |
| title | A Decomposition of Twisted Equivariant -Theory |
| title_full | A Decomposition of Twisted Equivariant -Theory |
| title_fullStr | A Decomposition of Twisted Equivariant -Theory |
| title_full_unstemmed | A Decomposition of Twisted Equivariant -Theory |
| title_short | A Decomposition of Twisted Equivariant -Theory |
| title_sort | decomposition of twisted equivariant -theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211308 |
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