| Title:
|
Controlled objects as a symmetric monoidal functor (English) |
| Author:
|
Bunke, Ulrich |
| Author:
|
Caputi, Luigi |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
6 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
182-211 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The goal of this paper is to associate functorially to every symmetric monoidal additive category $\bf A$ with a strict $G$-action a lax symmetric monoidal functor ${\bf V}^G_{\bf A}:G{\bf BornCoarse} \rightarrow {\bf Add}_\infty$ from the symmetric monoidal category of $G$-bornological coarse spaces $G{\bf BornCoarse}$ to the symmetric monoidal $\infty$-category of additive categories ${\bf Add}_\infty$. Among others, this allows to refine equivariant coarse algebraic $K$-homology to a lax symmetric monoidal functor. (English) |
| Keyword:
|
controlled objects |
| Keyword:
|
symmetric monoidal functors |
| Keyword:
|
coarse algebraic $K$-homology theory |
| MSC:
|
19D23 |
| MSC:
|
50N20 |
| idZBL:
|
Zbl 1497.18020 |
| idMR:
|
MR4456594 |
| DOI:
|
10.21136/HS.2022.03 |
| . |
| Date available:
|
2026-03-13T09:56:32Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153447 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| . |
