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/

Zendy Plus

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

Zendy Tools

Zendy Open

We give a combinatorial characterization of amenability of monomial algebrasand prove the existence of monomial Folner sequences, answering a question dueto Ceccherini-Silberstein and Samet-Vaillant. We then use our characterizationto prove that over projectively simple monomial algebras, every module isexhaustively amenable; we conclude that convolution algebras of minimalsubshifts admit the same property. We deduce that any minimal subshift ofpositive entropy gives rise to a graded algebra which does not satisfy anextension of Vershik's conjecture on amenable groups, proposed by Bartholdi.Finally, we show that non-amenable monomial algebras must containnoncommutative free subalgebras. Examples are given to emphasize the sharpnessand necessity of the assumptions in our results.

Amenability of monomial algebras, minimal subshifts and free subalgebras