| Title:
|
Non-unital $C^*$-categories, (co)limits, crossed products and exactness (English) |
| Author:
|
Bunke, Ulrich |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
163-209 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We provide a reference for basic categorial properties of the categories of (possibly non-unital) $\mathbb{C}$-linear *-categories or C*-categories, and (not necessarily unit-preserving) functors. Generalizing the classical case of algebras with $G$-action, we extend the construction of crossed products to categories with G-action. We will show that the crossed product functor preserves exact sequences and excisive squares and sends weak equivalences to equivalences. (English) |
| Keyword:
|
non-unital $C^*$-categories |
| Keyword:
|
crossed products |
| Keyword:
|
exact sequences |
| MSC:
|
46M15 |
| idZBL:
|
Zbl 1565.19006 |
| idMR:
|
MR4835389 |
| DOI:
|
10.21136/HS.2024.10 |
| . |
| Date available:
|
2026-03-13T14:34:45Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153475 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
