English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the $C^*$-algebras arising in the construction ofGuionnet-Jones-Shlyakhtenko (GJS) for a planar algebra. In particular, we showthey are pairwise strongly Morita equivalent, we compute their $K$-groups, andwe prove many properties, such as simplicity, unique trace, and stable rank 1.Interestingly, we see a $K$-theoretic obstruction to the GJS $C^*$-algebraanalog of Goldman-type theorems for II$_1$-subfactors. This is the secondarticle in a series studying canonical $C^*$-algebras associated to a planaralgebra.

$C^*$-algebras from planar algebras II: the Guionnet-Jones-Shlyakhtenko $C^*$-algebras

$C^$-algebras from planar algebras II: the Guionnet-Jones-Shlyakhtenko $C^$-algebras