Geodesic
EQUIVARIANT ANDERSON DUALITY AND MACKEY FUNCTOR DUALITY
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 649-676

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DOI

We show that the $\mathbb{Z}$ /2-equivariant nth integral Morava K-theory with reality is self-dual with respect to equivariant Anderson duality. In particular, there is a universal coefficients exact sequence in integral Morava K-theory with reality, and we recover the self-duality of the spectrum KO as a corollary. The study of $\mathbb{Z}$ /2-equivariant Anderson duality made in this paper gives a nice interpretation of some symmetries of RO( $\mathbb{Z}$ /2)-graded (i.e. bigraded) equivariant cohomology groups in terms of Mackey functor duality. 
RICKA, NICOLAS. EQUIVARIANT ANDERSON DUALITY AND MACKEY FUNCTOR DUALITY. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 649-676. doi: 10.1017/S0017089515000397
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     author = {RICKA, NICOLAS},
     title = {EQUIVARIANT {ANDERSON} {DUALITY} {AND} {MACKEY} {FUNCTOR} {DUALITY}},
     journal = {Glasgow mathematical journal},
     pages = {649--676},
     year = {2016},
     volume = {58},
     number = {3},
     doi = {10.1017/S0017089515000397},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000397/}
}
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