Approximately inner automorphisms of semi-finite von Neumann algebras.
نویسندگان
چکیده
منابع مشابه
A Cohomological Characterization of Approximately Finite Dimensional Von Neumann Algebras
One of the purposes in the computation of cohomology groups is to establish invariants which may be helpful in the classification of the objects under consideration. In the theory of continuous Hochschild cohomology for operator algebras R. V. Kadison and J. R. Ringrose proved [10] that for any hyperfinite von Neumann algebra M and any dual normal M-bimodule S, all the continuous cohomology gro...
متن کاملOn Pairs of Automorphisms of Von Neumann Algebras
Let e,8 be *-automorphlsms of avon Neumann algebra M satisfying the operator equation -I -I + =+8 In this paper we prove a general decomposition theorem in the non-commuting situation as compared to the usual commuting case (see references) and prove that there exists a central projection p in M such that 2 82 on Mp and 2 8-2 on M(l-p). KEYS WORDS AND PHRASES. Automorphlsms, central projections...
متن کاملEmbedding Dimensions of Finite von Neumann Algebras
We introduce “embedding dimensions” of a family of generators of a finite von Neumann algebra when the von Neumann algebra can be faithfully embedded into the ultrapower of the hyperfinite II1 factor. These embedding dimensions are von Neumann algebra invariants, i.e., do not depend on the choices of the generators. We also find values of these invariants for some specific von Neumann algebras.
متن کاملTorsion Theories for Finite Von Neumann Algebras
The study of modules over a finite von Neumann algebra A can be advanced by the use of torsion theories. In this work, some torsion theories for A are presented, compared and studied. In particular, we prove that the torsion theory (T,P) (in which a module is torsion if it is zero-dimensional) is equal to both Lambek and Goldie torsion theories for A. Using torsion theories, we describe the inj...
متن کاملInteger Operators in Finite Von Neumann Algebras
Motivated by the study of spectral properties of self-adjoint operators in the integral group ring of a sofic group, we define and study integer operators. We establish a relation with classical potential theory and in particular the circle of results obtained by M. Fekete and G. Szegö, see [Fek23,FS55,Sze24]. More concretely, we use results by R. Rumely, see [Rum99], on equidistribution of alg...
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: MATHEMATICA SCANDINAVICA
سال: 1993
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-12441