Noncommutative ergodic theorems

DOI10.1090/S0002-9904-1977-14420-0zbMath0392.46046MaRDI QIDQ4173824

Nghiem Dang-Ngoc, Jean-Pierre Conze

Publication date: 1977

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Von Neumann AlgebraLie GroupsLocally Compact SemigroupAmenable Locally Compact Connected GroupsDunford-Schwartz-Zygmund Pointwise Ergodic TheoremFaithful Normal StateInvariant ContractionsMeasurable HomomorphismNoncommutative Byodic TheoremNonpommutative Dynamical SystemWiener Local Ergodic Theorem

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (1)

A non-commutative individual ergodic theorem

Cites Work

• Ergodic theorems for convex sets and operator algebras
• Group structure and the pointwise ergodic theorem for connected amenable groups
• Sur la classification des systèmes dynamiques non commutatifs
• The ergodic theorem
• A strong noncommutative ergodic theorem
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