Ergodic theory for quantum semigroups

Volker Runde, Ami Viselter

Research output: Contribution to journalArticlepeer-review


Recent results of Zsidó, based on his previous work with Niculescu and Ströh, on actions of topological semigroups on von Neumann algebras, give a Jacobs-de Leeuw-Glicksberg splitting theorem at the von Neumann algebra (rather than Hilbert space) level. We generalize this to the framework of actions of quantum semigroups, namely Hopf-von Neumann algebras. To this end, we introduce and study a notion of almost periodic vectors and operators that is suitable for our setting.

Original languageEnglish
Pages (from-to)941-959
Number of pages19
JournalJournal of the London Mathematical Society
Issue number3
StatePublished - Jun 2014
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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