| Title:
|
Generalized notions of amenability for a class of matrix algebras (English) |
| Author:
|
Sahami, Amir |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
199-208 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the amenability and its related homological notions for a class of $I\times I$-upper triangular matrix algebra, say ${\rm UP}(I,A)$, where $A$ is a Banach algebra equipped with a nonzero character. We show that ${\rm UP}(I,A)$ is pseudo-contractible (amenable) if and only if $I$ is singleton and $A$ is pseudo-contractible (amenable), respectively. We also study pseudo-amenability and approximate biprojectivity of ${\rm UP}(I,A)$. (English) |
| Keyword:
|
upper triangular Banach algebra |
| Keyword:
|
amenability |
| Keyword:
|
left $\varphi$-amenability |
| Keyword:
|
approximate biprojectivity |
| MSC:
|
43A07 |
| MSC:
|
43A20 |
| MSC:
|
46M10 |
| idZBL:
|
Zbl 07144888 |
| idMR:
|
MR3982467 |
| DOI:
|
10.14712/1213-7243.2019.002 |
| . |
| Date available:
|
2019-08-05T09:46:15Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147811 |
| . |
| Reference:
|
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