On Ozawa’s Property for Free Group Factors
نویسنده
چکیده
We give a new proof of a result of Ozawa showing that if a von Neumann subalgebra Q of a free group factor LFn, 2 ≤ n ≤ ∞ has relative commutant diffuse (i.e. without atoms), then Q is amenable.
منابع مشابه
On Cocycle Actions of Non-commutative Bernoulli Shifts
In this paper we investigate the cocycle actions of non-commutative Bernoulli shifts for a countable discrete group G on the AFD II1-factor N = ⊗g∈GMn(C) or ⊗g∈GR, where R is the AFD II1-factor. We show that if G contains some non-amenable exact group, then the fixed point algebra of any its cocycle action is always atomic. We also give another proof of Popa’s cocycle vanishing theorem [15] in ...
متن کاملThe Effect of Property Rights on Entrepreneurship:Evidence from Some Factor-driven, Efficiency-driven, and Innovation-driven Countries
Entrepreneurship is influenced by many factors and environments such as institutions. Institutions have an important role to play in the individual's tendency toward necessity and opportunity entrepreneurship. The purpose of this paper was to examine the impact of institutional quality (property rights) on opportunity and necessity entrepreneurship. The results, based on unbalanced panel data f...
متن کاملv 1 8 M ay 1 99 6 TWO APPLICATIONS OF FREE ENTROPY Kenneth
In [8] and [9], Voiculescu introduced free entropy for n–tuples of self–adjoint elements in a II1–factor, and used it to prove that free group factors, L(Fn), lack Cartan subalgebras [9]. In [4], S. Popa introduced a property for II1–factors, called property C. (See [5] for a paper related to [4].) Like Property Γ of Murray and von Neumann, this is an asymptotic commutivity property, but it is ...
متن کاملOn Ideals Which Have the Weakly Insertion of Factors Property
A one-sided ideal of a ring has the insertion of factors property (or simply, IFP) if implies r for . We say a one-sided ideal of has the weakly IFP if for each , implies , for some non-negative integer . We give some examples of ideals which have the weakly IFP but have not the IFP. Connections between ideals of which have the IFP and related ideals of some ring extensions a...
متن کاملFree Vibration Analysis of Functionally Graded Materials Non-uniform Beams
In this article, nonuniformity effects on free vibration analysis of functionally graded beams is discussed. variation in material properties is modeled after Powerlaw and exponential models and the non-uniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. It is...
متن کامل