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On The Equivariant Cohomology Algebra For Solenoidal Actions, Ali̇ Arslan Özkurt
On The Equivariant Cohomology Algebra For Solenoidal Actions, Ali̇ Arslan Özkurt
Turkish Journal of Mathematics
We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and H_G^*(X,Q) has a presentation similar to the presentation of H^*(X,Q) as proven by Chang in the case of a circle group.