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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Practically and intrinsically, inclusions of operator algebras are offundamental interest. The subject of this paper is intermediate operatoralgebras of inclusions. There are two previously known theorems which naturallyand completely describe all intermediate operator algebras: the GaloisCorrespondence Theorem and the Tensor Splitting Theorem. Here we establish thethird, new complete description theorem which gives a canonical bijectivecorrespondence between intermediate operator algebras and intermediateextensions of dynamical systems. One can also regard this theorem as a crossedproduct splitting theorem, analogous to the Tensor Splitting Theorem. We thengive concrete applications, particularly to maximal amenability problem and anew realization result of intermediate operator algebra lattice.

Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems