scholarly journals Maximal subgroups and von Neumann subalgebras with the Haagerup property

2021 ◽  
Author(s):  
Yongle Jiang ◽  
Adam Skalski
Keyword(s):  
Maximal Subgroups ◽  
Haagerup Property ◽  
Von Neumann

scholarly journals The Haagerup Property for Arbitrary von Neumann Algebras

2014 ◽  
Vol 2015 (19) ◽  
pp. 9857-9887 ◽  
Author(s):  
Martijn Caspers ◽  
Adam Skalski
Keyword(s):  
Von Neumann Algebras ◽  
Haagerup Property ◽  
Von Neumann

scholarly journals Haagerup approximation property via bimodules

2017 ◽  
Vol 121 (1) ◽  
pp. 75 ◽  
Author(s):  
Rui Okayasu ◽  
Narutaka Ozawa ◽  
Reiji Tomatsu
Keyword(s):  
Quantum Group ◽  
Von Neumann Algebra ◽  
Approximation Property ◽  
Von Neumann Algebras ◽  
Locally Compact ◽  
Haagerup Property ◽  
Von Neumann ◽  
Locally Compact Quantum Groups ◽  
Locally Compact Quantum Group ◽  
Finite Von Neumann Algebras

The Haagerup approximation property (HAP) is defined for finite von Neumann algebras in such a way that the group von Neumann algebra of a discrete group has the HAP if and only if the group itself has the Haagerup property. The HAP has been studied extensively for finite von Neumann algebras and it was recently generalized to arbitrary von Neumann algebras by Caspers-Skalski and Okayasu-Tomatsu. One of the motivations behind the generalization is the fact that quantum group von Neumann algebras are often infinite even though the Haagerup property has been defined successfully for locally compact quantum groups by Daws-Fima-Skalski-White. In this paper, we fill this gap by proving that the von Neumann algebra of a locally compact quantum group with the Haagerup property has the HAP. This is new even for genuine locally compact groups.

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann

John von Neumann

2004 ◽  
Vol 174 (12) ◽  
pp. 1371 ◽  
Author(s):  
Mikhail I. Monastyrskii
Keyword(s):  
John Von Neumann ◽  
Von Neumann

Information mechanics

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Information Flow ◽  
Irreversible Processes ◽  
State Machines ◽  
Science And Engineering ◽  
Von Neumann ◽  
Principle Of Maximum Entropy ◽  
Information Manipulation ◽  
Classical Quantum ◽  
Physical Laws ◽  
Principle Of Maximum

Information is physical, so its manipulation through devices is subject to its own mechanics: the science and engineering of behavioral description, which is intermingled with classical, quantum and statistical mechanics principles. This chapter is a unification of these principles and physical laws with their implications for nanoscale. Ideas of state machines, Church-Turing thesis and its embodiment in various state machines, probabilities, Bayesian principles and entropy in its various forms (Shannon, Boltzmann, von Neumann, algorithmic) with an eye on the principle of maximum entropy as an information manipulation tool. Notions of conservation and non-conservation are applied to example circuit forms folding in adiabatic, isothermal, reversible and irreversible processes. This brings out implications of fluctuation and transitions, the interplay of errors and stability and the energy cost of determinism. It concludes discussing networks as tools to understand information flow and decision making and with an introduction to entanglement in quantum computing.

Sign in / Sign up

Export Citation Format

Share Document