Automorphisms of Full II1 Factors, II
نویسندگان
چکیده
منابع مشابه
Notes on Automorphisms of Ultrapowers of Ii1 Factors
In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II1 factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is א0-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a se...
متن کاملSome Endomorphisms of Ii1 Factors: Part Ii
For any finite dimensional C-algebra A with a trace vector ~s whose entries are rational numbers, we give an endomorphism Φ of the hyperfinite II1 factor R such that: ∀ k ∈ N, Φ(R) ∩R = ⊗A. The canonical trace τ on R extends the trace vector ~s on A. Therefore the minimal projection is not necessarily equivalent to each other.
متن کاملGenerators of II1 factors
In 2005, Shen introduced a new invariant, G(N), of a di use von Neumann algebra N with a xed faithful trace, and he used this invariant to give a uni ed approach to showing that large classes of II1 factors M are singly generated. This paper focuses on properties of this invariant. We relate G(M) to the number of self-adjoint generators of a II1 factor M : if G(M) < n/2, then M is generated by ...
متن کاملExistentially Closed Ii1 Factors
We examine the properties of existentially closed (R-embeddable) II1 factors. In particular, we use the fact that every automorphism of an existentially closed (R-embeddable) II1 factor is approximately inner to prove that Th(R) is not model-complete. We also show that Th(R) is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonis...
متن کاملSome Endomorphisms of Ii1 Factors
For any finite dimensional C∗-algebra A , we give an endomorphism Φ of the hyperfinite II1 factor R of finite Jones index such that: ∀ k ∈ N, Φk(R)′ ∩R = ⊗kA. The Jones index [R : Φ(R)] = (rank (A)), here rank (A) is the dimension of the maximal abelian subalgebra of A.
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: Canadian Mathematical Bulletin
سال: 1978
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-1978-056-0