E-resources
Open access
-
Chifan, Ionuţ; Adriana Fernández Quero; Tan, Hui
arXiv (Cornell University), 03/2024Paper, Journal Article
We introduce the first examples of groups \(G\) with infinite center which in a natural sense are completely recognizable from their von Neumann algebras, \(\mathcal{L}(G)\). Specifically, assume that \(G=A\times W\), where \(A\) is an infinite abelian group and \(W\) is an ICC wreath-like product group CIOS22a; AMCOS23 with property (T) and trivial abelianization. Then whenever \(H\) is an \emph{arbitrary} group such that \(\mathcal{L}(G)\) is \(\ast\)-isomorphic to \(\mathcal L(H)\), via an \emph{arbitrary} \(\ast\)-isomorphism preserving the canonical traces, it must be the case that \(H= B \times H_0\) where \(B\) is infinite abelian and \(H_0\) is isomorphic to \(W\). Moreover, we completely describe the \(\ast\)-isomorphism between \(\mathcal L(G)\) and \(\mathcal L(H)\). This yields new applications to the classification of group C\(^*\)-algebras, including examples of non-amenable groups which are recoverable from their reduced C\(^*\)-algebras but not from their von Neumann algebras.
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|
Source: Personal bibliographies
and: SICRIS
The material is available in full text. If you wish to order the material anyway, click the Continue button.