| Title:
|
Operator Connes-amenability of completely bounded multiplier Banach algebras (English) |
| Author:
|
Hayati, Bahman |
| Author:
|
Bodaghi, Abasalt |
| Author:
|
Amini, Massoud |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
31-42 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a completely contractive Banach algebra $B$, we find conditions under which the completely bounded multiplier algebra $\mathcal{M}_{cb}(B)$ is a dual Banach algebra and the operator amenability of $B$ is equivalent to the operator Connes-amenability of $\mathcal{M}_{cb}(B)$. We also show that, in this case, these are equivalent to the existence of a normal virtual operator diagonal. (English) |
| Keyword:
|
amenability |
| Keyword:
|
Connes-amenability |
| Keyword:
|
dual multiplier algebra |
| Keyword:
|
normal virtual operator diagonal |
| MSC:
|
46H20 |
| idZBL:
|
Zbl 07088756 |
| idMR:
|
MR3939062 |
| DOI:
|
10.5817/AM2019-1-31 |
| . |
| Date available:
|
2019-03-23T12:21:09Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147648 |
| . |
| Reference:
|
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