The Equivariant Generating Hypothesis

Abstract

We state the generating hypothesis in the homotopy category of G-spectra for a compact Lie group G, and prove that if G is finite, then the generating hypothesis implies the strong generating hypothesis, just as in the non-equivariant case. We also give an explicit counterexample to the generating hypothesis in the category of rational S^1-equivariant spectra.

11 pages; fixed typos

References in corpus (1)

• The generating hypothesis in the derived category of R-modules

Cited by in corpus (2)

• A Presheaf Interpretation of the Generalized Freyd Conjecture
• On the Generating Hypothesis in Noncommutative Stable Homotopy