Classification of equivariant complex vector bundles over a circle
Cho, Jin-Hwan ; Kim, Sung Sook ; Masuda, Mikiya ; Suh, Dong Youp
J. Math. Kyoto Univ., Tome 41 (2001) no. 4, p. 517-534 / Harvested from Project Euclid
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In this paper we characterize the fiber representations of equivariant complex vector bundles over a circle and classify these bundles. We also treat the triviality of them by investigating the extensions of the fiber representations. As a corollary of our results, we calculate the reduced equivariant $K$-group of a circle for any compact Lie group, which extends a result of Y. Yang [Yan95].
Publié le : 2001-05-15
Classification:  57S25,  19L47 
@article{1250517616,
     author = {Cho, Jin-Hwan and Kim, Sung Sook and Masuda, Mikiya and Suh, Dong Youp},
     title = {Classification of equivariant complex vector bundles over a circle},
     journal = {J. Math. Kyoto Univ.},
     volume = {41},
     number = {4},
     year = {2001},
     pages = { 517-534},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517616}
}

Cho, Jin-Hwan; Kim, Sung Sook; Masuda, Mikiya; Suh, Dong Youp. Classification of equivariant complex vector bundles over a circle. J. Math. Kyoto Univ., Tome 41 (2001) no. 4, pp.  517-534. http://gdmltest.u-ga.fr/item/1250517616/