Bunke, Ulrich and Cisinski, Denis-Charles and Kasprowski, Daniel and Winges, Christoph (2025) Objets contrôlés dans les ∞ -catégories exactes à gauche et la conjecture de Novikov. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 153 (2). pp. 295-458. ISSN 0037-9484, 2102-622X
Full text not available from this repository. (Request a copy)Abstract
We associate to every G-bornological coarse space X and every left-exact oo-category with G-action a left-exact infinity-category of equivariant X-con-trolled objects. Postcomposing with algebraic K-theory leads to new equivariant coarse homology theories. This allows us to apply the injectivity results for assembly maps by Bunke, Engel, Kasprowski and Winges to the algebraic K-theory of left-exact oocategories.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC K-THEORY; FARRELL-JONES CONJECTURE; SPACES; coarse bornological spaces; controlled objects; K-theory; assembly map; Novikov conjecture; equivariant homotopy theory; 00-categories; Coarse geometry |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke Mathematics > Prof. Dr. Denis-Charles Cisinski |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Apr 2026 06:51 |
| Last Modified: | 22 Apr 2026 06:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66173 |
Actions (login required)
 |
View Item |
