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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the present article we review an approximation procedure for amenabletraces on unital and separable C*-algebras acting on a Hilbert space in termsof F\o lner sequences of non-zero finite rank projections. We apply this methodto improve spectral approximation results due to Arveson and B\'edos. We alsopresent an abstract characterization in terms of unital completely positivemaps of unital separable C*-algebras admitting a non-degenerate representationwhich has a F\o lner sequence or, equivalently, an amenable trace. This isanalogous to Voiculescu's abstract characterization of quasidiagonalC*-algebras. We define F\o lner C*-algebras as those unital separableC*-algebras that satisfy these equivalent conditions. Finally we also mentionsome permanence properties related to these algebras.

Amenable traces and F{\o}lner C*-Algebras