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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211308 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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| ISSN: | 1815-0659 |