共查询到20条相似文献,搜索用时 15 毫秒
1.
Let be factors generated by a periodic tower of finite dimensional -algebras. We prove that for sufficiently large , is -isomorphic to a subalgebra of .
2.
Pinhas Grossman 《Journal of Functional Analysis》2007,247(2):477-491
We consider noncommuting pairs P, Q of intermediate subfactors of an irreducible, finite-index inclusion N⊂M of II1 factors such that P and Q are supertransitive with Jones index less than 4 over N. We show that up to isomorphism of the standard invariant, there is a unique such pair corresponding to each even value but none for the odd values . We also classify the angle values which occur between pairs of intermediate subfactors with small index over their intersection: if [P:N],[Q:N]<4, then the unique nontrivial angle value is always . 相似文献
3.
LI Weihua Institute of Mathematics Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2005,48(9):1284-1295
Some basic questions on ultraproducts of C~*-algebras and von Neumann al- gebras,including the relation to K-theory of C~*-algebras are considered.More specifically, we prove that under certain conditions,the K-groups of ultraproduct of C~*-algebras are iso- morphic to the ultraproduct of respective K-groups of C~*-algebras.We also show that the ultraproducts of factors of type Ⅱ_1 are prime,i.e.not isomorphic to any non-trivial tensor product. 相似文献
4.
In this paper we consider two von Neumann subalgebras and of a type II1 factor . For a map φ on , we define
5.
On "Problems on von Neumann Algebras by R. Kadison, 1967" 总被引:1,自引:0,他引:1
LiMingGE 《数学学报(英文版)》2003,19(3):619-624
A brief summary of the development on Kadison‘s famous problems (1967) is given. A new set of problems in von Neumann algebras is listed. 相似文献
6.
Feng Xu 《Advances in Mathematics》2009,220(5):1317-468
We prove that the very simple lattices which consist of a largest, a smallest and 2n pairwise incomparable elements where n is a positive integer can be realized as the lattices of intermediate subfactors of finite index and finite depth. Using the same techniques, we give a necessary and sufficient condition for subfactors coming from Loop groups of type A at generic levels to be maximal. 相似文献
7.
We construct an analogue of von Neumann's affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplansky's direct finiteness conjecture for sofic groups. 相似文献
8.
It is known that for an amenable locally compact group , is not in the weak closure of of . In this paper, it is proved that the converse of this is true. In other words, if is a non-amenable locally compact group, then is in the weak closure of . This answers several questions of Ülger. Applications to the algebra and the dual of the reduced group -algebra are obtained.
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10.
Jesse Peterson 《Journal of Functional Analysis》2005,219(2):469-483
We prove that the notion of rigidity (or relative property (T)) for inclusions of finite von Neumann algebras recently defined by the second author is equivalent to a weaker property, in which no “continuity constants” are required. The proof is by contradiction and uses infinite products of completely positive maps, regarded as correspondences. 相似文献
11.
Junsheng Fang 《Journal of Functional Analysis》2007,244(1):277-288
Let Mi be a von Neumann algebra, and Bi be a maximal injective von Neumann subalgebra of Mi, i=1,2. If M1 has separable predual and the center of B1 is atomic, e.g., B1 is a factor, then is a maximal injective von Neumann subalgebra of . This partly answers a question of Popa. 相似文献
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13.
Michael Marsalli Graeme West 《Proceedings of the American Mathematical Society》2000,128(10):2967-2972
Suppose is a finite, subdiagonal subalgebra of a von Neumann algebra. We show that the invertible group of is strongly connected.
14.
Timur Oikhberg 《Linear algebra and its applications》2008,429(4):759-775
We describe the elements of von Neumann algebras which can be represented as products of orthogonal projections and idempotents, and estimate the minimal number of terms in the product. 相似文献
15.
Qi Wang 《Journal of Pure and Applied Algebra》2022,226(1):106818
We determined the τ-tilting finiteness of Schur algebras over an algebraically closed field of arbitrary characteristic, except for a few small cases. 相似文献
16.
We show that many Kadison–Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras. Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified. 相似文献
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18.
On triangular algebras with noncommutative diagonals 总被引:2,自引:0,他引:2
DONG AiJu Department of Mathematics Xi’an University of Arts Science Xi’an China 《中国科学A辑(英文版)》2008,51(10):1937-1944
We construct a triangular algebra whose diagonals form a noncommutative algebra and its lattice of invariant projections contains only two nontrivial projections. Moreover we prove that our triangular algebra is maximal. 相似文献
19.
G. Lechner D. Li H. Queffélec L. Rodríguez-Piazza 《Journal of Functional Analysis》2018,274(7):1928-1958
We study the approximation numbers of weighted composition operators on the Hardy space on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For the special class of weighted lens map composition operators with specific weights, we show how much the weight w can improve the decay rate of the approximation numbers, and give sharp upper and lower bounds. These examples are motivated from applications to the analysis of relative commutants of special inclusions of von Neumann algebras appearing in quantum field theory (Borchers triples). 相似文献
20.
Equivalent characterization of centralizers on <Emphasis Type="Italic">B</Emphasis>(<Emphasis Type="Italic">H</Emphasis>)
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Let H be a Hilbert space with dim H≥2 and Z∈ß(H) be an arbitrary but fixed operator. In this paper we show that an additive map Φ:ß(H) → ß(H) satisfies Φ(AB)=Φ(A)B=AΦ(B) for any A,B∈ß(H) with AB=Z if and only if Φ(AB)=Φ(A)B=AΦ(B), ∀A, B∈ß(H), that is, Φ is a centralizer. Similar results are obtained for Hilbert space nest algebras. In addition, we show that Φ(A2)=AΦ(A)=Φ(A)A for any A∈ ß(H) with AA2=0 if and only if Φ(A)=AΦ(I)=Φ(I)A, ∀A∈ß(H), and generalize main results in Linear Algebra and its Application, 450, 243-249 (2014) to infinite dimensional case. New equivalent characterization of centralizers on ß(H) is obtained. 相似文献