added pointer to:

- Magdalena Kedziorek,
*An algebraic model for rational $SO(3)$–spectra*, Algebraic & Geometric Topology 17 (2017) 3095–3136 (arXiv:1611.08415, doi:10.2140/agt.2017.17.3095)

(previously we just had a pointer to the thesis of a similar title)

]]>added pointer to:

Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak, Magdalena Kędziorek, Clover May,

*Naive-commutative structure on rational equivariant K-theory for abelian groups*(arXiv:2002.01556)Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak, Magdalena Kędziorek, Clover May,

*Genuine-commutative ring structure on rational equivariant K-theory for finite abelian groups*(arXiv:2104.01079)

added pointer to:

- David Barnes, Magdalena Kedziorek,
*An introduction to algebraic models for rational G-spectra*(arXiv:2004.01566)

Thanks. And I just fixed a typo in #3: of course the Dihedral group sits in $O(2) \hookrightarrow SO(3)$, not in $SO(2)$.

]]>I added that first item mentioned in #2:

- David Barnes, John Greenlees, Magdalena Kedziorek, Brooke Shipley,
*Rational SO(2)-Equivariant Spectra*(arXiv:1511.03291)

It only came out last week.

]]>Thanks for the pointer! Apparently this is a thesis which is out be now, see here. Am adding it to the entry now.

What I am actually after is equivariance with respect to finite subgroups of $SO(3)$. But of course some of them factor through the inclusion $O(2) \hookrightarrow SO(3)$, the cyclic groups and the dihedral groups. Moreover, I am after seeing whether the quaternionic Hopf fibration with its canonical action by $SO(3)$ becomes a non-torsion element for any of these subgroups, in the corresponding RO(G)-degree 3. If that works for the cyclic groups of the dihedral groups, then it will be visible already in just $SO(2)$-equivariant homotopy theory.

]]>I see they’re pushing on to $SO(3)$, as mentioned in Rational SO(2)-Equivariant Spectra

]]>M. Kedziorek. An algebraic model for rational SO(3) - spectra. In preparation.

I have started *rational equivariant stable homotopy theory*, but so far there is nothing but references.