Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors
نویسندگان
چکیده
منابع مشابه
Maximal Injective Subalgebras of Tensor Products of Free Group Factors
In this article, we proved the following results. Let L(F (ni)) be the free group factor on ni generators and λ(gi) be one of standard generators of L(F (ni)) for 1 ≤ i ≤ N . Let Ai be the abelian von Neumann subalgebra of L(F (ni)) generated by λ(gi). Then the abelian von Neumann subalgebra ⊗i=1Ai is a maximal injective von Neumann subalgebra of ⊗i=1L(F (ni)). When N is equal to infinity, we o...
متن کاملCartan Subalgebras and Bimodule Decompositions of Ii1 Factors
Let A ⊂M be a MASA in a II1 factor M. We describe the von Neumann subalgebra of M generated by A and its normalizer N (A) as the set Nw q (A) consisting of those elements m ∈M for which the bimodule AmA is discrete. We prove that two MASAs A and B are conjugate by a unitary u ∈ Nw q (A) iff A is discrete over B and B is discrete over A in the sense defined by Feldman and Moore [5]. As a consequ...
متن کاملinfluential factors of customer e-loyalty in iranian e-stores
گسترش سریع تکنولوژی و اینترنت مسیر شرکت ها را به نگهداری وفاداری مشتریان الکترونیکی معطوف کرده است. وفاداری مشتریان یک حوزه بسیار جالب برای شرکت ها می باشد و وفاداری مشتریان تاثیر مستقیم بر درآمد و سودزایی شرکتها دارد. با توجه به اهمیت وفاداری مشتری، ما به جستجوی سه مشکل اصلی تحقیق پرداختیم که آن ها مهمترین موانع برای حفظ حیات کسب و کارهای اینترنتی هستند که عبارت از تعویض های متعدد مشتری، هزینه...
15 صفحه اولIndecomposability of Free Group Factors over Nonprime Subfactors and Abelian Subalgebras
Abstract. We use the free entropy defined by D. Voiculescu to prove that the free group factors can not be decomposed as closed linear spans of noncommutative monomials in elements of nonprime subfactors or abelian ∗-subalgebras, if the degrees of monomials have an upper bound depending on the number of generators. The resulting estimates for the hyperfinite and abelian dimensions of free group...
متن کاملCartan Subalgebras in C*-Algebras
According to J. Feldman and C. Moore’s wellknown theorem on Cartan subalgebras, a variant of the group measure space construction gives an equivalence of categories between twisted countable standard measured equivalence relations and Cartan pairs, i.e., a von Neumann algebra (on a separable Hilbert space) together with a Cartan subalgebra. A. Kumjian gave a C∗-algebraic analogue of this theore...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2019
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2019.12.1295