The Burnside Ring of a Compact Lie Group. I.
The Burnside Ring of a Cyclic Extension of a Torus.
The equivariant topological s-cobordism theorem.
The Equivariant Triangulation Theorem for Actions of Compact Lie Groups.
The Euler class and periodicity of group cohomology.
The S1-CW decomposition of the geometric realization of a cyclic set
We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
The Spectrum of Equivariant K-theory.
The topological rationality of linear representations
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
Transformation Groups on Cohomology Product of Spheres.