E-resources
-
BRANNAN, MICHAEL; COLLINS, BENOÎT; VERGNIOUX, ROLAND
Transactions of the American Mathematical Society, 06/2017, Volume: 369, Issue: 6Journal Article
For a compact quantum group \mathbb{G} of Kac type, we study the existence of a Haar trace-preserving embedding of the von Neumann algebra L^\infty (\mathbb{G}) into an ultrapower of the hyperfinite II _1-factor (the Connes embedding property for L^\infty (\mathbb{G})). We establish a connection between the Connes embedding property for L^\infty (\mathbb{G}) and the structure of certain quantum subgroups of \mathbb{G} and use this to prove that the II _1-factors L^\infty (O_N^+) and L^\infty (U_N^+) associated to the free orthogonal and free unitary quantum groups have the Connes embedding property for all N \ge 4. As an application, we deduce that the free entropy dimension of the standard generators of L^\infty (O_N^+) equals 1 for all N \ge 4. We also mention an application of our work to the problem of classifying the quantum subgroups of O_N^+.
![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.