Semi-regular maximal abelian subalgebras in hyperfinite factors

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Maximal Abelian Subalgebras of O N

We consider maximal abelian subalgebras of O n which are invariant to the standard circle action. It turns out that these are all contained in the zero grade of O n. Then we consider shift invariant maximal abelian subalgebras of the zero grade, which are also invariant to a " second shift " map, and show that these are just infinite tensor products of diagonal matrices in the standard UHF pict...

متن کامل

Conditional Expectations onto Maximal Abelian *-subalgebras

We determine when there is a unique conditional expectation from a semifinite von Neumann algebra onto a singly-generated maximal abelian *-subalgebra. Our work extends the results of Kadison and Singer via new methods, notably the observation that a unique conditional expectation onto a singly-generated maximal abelian *-subalgebra must be normal.

متن کامل

Local tube realizations of CR-manifolds and maximal abelian subalgebras

CR-manifolds. A triple (M,HM,J) is called an abstract CR-manifold (CR for Cauchy-Riemann) if M is a (connected if not stated otherwise explicitly) smooth manifold, HM is a smooth subbundle of its tangent bundle TM and J is a smooth bundle endomorphism of HM with J = − id. For simplicity we often write just M instead of (M,HM,J). For every a ∈ M the restriction of J to the linear subspace HaM ⊂ ...

متن کامل

Maximal Nonfinitely Generated Subalgebras

We show that “every countable algebra with a nonfinitely generated subalgebra has a maximal nonfinitely generated subalgebra” is provably equivalent to ’1-CA0 over RCA0.

متن کامل

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 کامل

ذخیره 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: Bulletin of the American Mathematical Society

سال: 1965

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1965-11355-6