(M,\\\unicode[STIX]{x1D711})=\\\ast _{i\\\in I}(M_{i},\\\unicode[STIX]{x1D711}_{i})$ , we show that the free product vonNeumann algebra $M$ retains the cardinality $|I|$ and each nonamenable factor $M_{i}$ up to stably inner conjugacy, after permutation of the indic...
If A1and A2are two von Neumann algebras with separating cyclic trace vectors an ortho-unitary bases, then the free product A1* A2of A1and A2is a factor of type II1without property Γ.关键词: von Neumann algebra group construction factor of type <IMG WIDTH="30" HEIGHT="38" ALIGN="...
The von Neumann algebra free product of arbitary finite dimensional von Neumann algebras with respect to arbitrary faithful states, at least one of which i... KJ Dykema 被引量: 58发表: 1996年 Topological Free Entropy Dimensions in Nuclear C$^*$-algebras and in Full Free Products of C$^*$...
Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group - Radulescu - 1994 () Citation Context ...Lebesgue measure, then the continuous core of the free Araki-Woods factor Γ(HR,Ut) ′′ cannot be isomorphic to any L(Ft) ⊗ B(ℓ2 ), ...
Pre- cisely, we show that the graph W -algebra W (G) is the DG-free product of DG-free building blocks DG and W ({Le}, DG), for all e ∈ E(G). So, we can observe the DG-free product structure of (W (G), E) by these building blocks. Also, we can see that(W (G)...
We study Cartan subalgebras in the context of amalgamated free product II$_1$factors and obtain several uniqueness and non-existence results. We prove that... D Wright - 《J.pure Appl.algebra》 被引量: 51发表: 1978年 Normalizers inside amalgamated free product von Neumann algebras Recently,...
Let G be the free product of N groups each having order k N and let A be the maximal abelian subalgebra of the group von Neumann algebra (G), called the radial algebra of G. The Pukánszky invariant of the abelian algebra =(A ∨ JAJ)″ is computed in this case. If N 3, is ...
1. Changjing Li ,Fangyan Lu,Xiaochun Fang,Nonlinear mappingspreserving product XY+YX* on factor von Neumann algebras,Linear Algebra and its Applications,2013,438(5):2339-2345. 2. Changjing Li ,Fangyan Lu,Xiaochun Fang,Nonlinear xi-Jordan *-derivations on von Neumann algebras,Linear and Multilin...
von Neumann algebra[fȯn ¦nȯi·män ′al·jə·brə] (mathematics) A subalgebra A of the algebra B (H) of bounded linear operators on a complex Hilbert space, such that the adjoint operator of any operator in A is also in A, and A is closed in the strong operator...
can appear. finally, modules obtained from isomorphisms of clifford manifolds also give rise to a von neumann algebra, namely the hyperfinite type \(i i_\infty \) factor. if x is not connected, \({{\,\mathrm{cl}\,}}(w_0)^{\prime \prime }\) is a tensor product of the factors...