Ergodic Actions of Universal Quantum Groups on Operator Algebras

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

The classical ergodic theory hasbeen built on σ-algebras. Later the Individual ergodictheorem was studied on more general structures like MV-algebrasand quantum structures. The aim of this paper is to formulate theIndividual ergodic theorem for intuitionistic fuzzy observablesusing  m-almost everywhere convergence, where  m...

ar X iv : h ep - t h / 01 06 06 4 v 2 1 2 Ju n 20 01 The Fuzzy Analog of Chiral Diffeomorphisms in higher dimensional Quantum Field Theories ∗

Our observation that the chiral diffeomorphisms allow an interpretation as modular groups of local operator algebras in the sense of Tomita and Takesaki allows us to conclude that the higher dimensional generalizations are certain infinite dimensional groups which act in a “fuzzy” way on the operator algebras of local quantum physics. These actions do not require any spacetime noncommutativity ...

Twisted Actions and Obstructions in Group Cohomology

This article is intended to answer the question “Why do you guys always want to twist everything?” We review the various ways in which twists, twisted actions and twisted crossed products arise, and then discuss some cohomological obstructions to the existence and triviality of twisted actions. Our review begins with the classical problems of classifying group extensions and irreducible unitary...

ar X iv : h ep - t h / 01 06 06 4 v 1 7 J un 2 00 1 The Fuzzy Analog of Chiral Diffeomorphisms in higher dimensional Quantum Field Theories ∗

Our observation that the chiral diffeomorphisms allow an interpretation as modular groups of local operator algebras in the sense of Tomita and Takesaki allows us to conclude that the higher dimensional generalizations are certain infinite dimensional groups which act in a “fuzzy” way on the operator algebras of local quantum physics. These actions do not require any spacetime noncommutativity ...