Abstract
For N∞ operads O and O′ such that there is an inclusion of the associated indexing systems, there is a forgetful functor from incomplete Tambara functors over O′ to incomplete Tambara functors over O. Roughly speaking, this functor forgets the norms in O′ that are not present in O. The forgetful functor has both a left and a right adjoint; the left adjoint is an operadic tensor product, but the right adjoint is more mysterious. We explicitly compute the right adjoint for finite cyclic groups of prime order.
| Original language | English (US) |
|---|---|
| Title of host publication | Homotopy Theory |
| Subtitle of host publication | Tools and Applications |
| Editors | Daniel G. Davis, Mark W. Johnson, Charles Rezk, Hans-Werner Henn, J. F. Jardine |
| Publisher | American Mathematical Society |
| Pages | 75-92 |
| Number of pages | 18 |
| ISBN (Print) | 9781470442446 |
| DOIs | |
| State | Published - 2019 |
| Externally published | Yes |
| Event | Conference on Homotopy Theory: Tools and Applications, 2017 - Urbana, United States Duration: Jul 17 2017 → Jul 21 2017 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 729 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Conference
| Conference | Conference on Homotopy Theory: Tools and Applications, 2017 |
|---|---|
| Country/Territory | United States |
| City | Urbana |
| Period | 7/17/17 → 7/21/17 |
Bibliographical note
Publisher Copyright:© 2019 American Mathematical Society.
Keywords
- Equivariant homotopy
- Green functor
- Operadic right adjoint
- Tambara functor