Abstract
In this paper, we construct incomplete versions of the equivariant stable category; that is, equivariant stabilizations of the category of (Formula presented.) -spaces with respect to incomplete systems of transfers encoded by an (Formula presented.) operad (Formula presented.). These categories are built from the categories of (Formula presented.) -algebras in (Formula presented.) -spaces. Using this operadic formulation, we establish incomplete versions of the usual structural properties of the equivariant stable category, notably the tom Dieck splitting. Our work is motivated in part by the examples arising from the equivariant units and Picard space functors.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 596-633 |
| Number of pages | 38 |
| Journal | Journal of the London Mathematical Society |
| Volume | 104 |
| Issue number | 2 |
| DOIs | |
| State | Published - Sep 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
Keywords
- 55P42
- 55P91 (primary)
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