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We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...
本文通过经典的可导映射，运用矩阵分块的方法，证明了因子vonNeumann代数A上的每一个非线性混合Lie三重可导映射都是可加的*-导子.
(Never) Mind your p's and q's:Von Neumann versus Jordan on the Foundations of Quantum Theory
Pascual Jordan John von Neumann transformation theory probability amplitudes canonical transformations Hilbert space spectral theorem
2016/5/30
In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von N...
A Tamper and Leakage Resilient von Neumann Architecture
tamper resistance non-malleable codes
2016/1/9
We present a universal framework for tamper and leakage resilient computation on a von
Neumann Random Access Architecture (RAM in short). The RAM has one CPU that accesses
a storage, which we call t...
In a celebrated paper published in 1951, von Neumann presented a simple procedure allowing to correct the bias of random sources. This device outputs bits at irregular intervals. However, cryptographi...
Insights from von Neumann analysis of high-order flux reconstruction schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method
2015/7/3
Additionally, twodimensional non-linear numerical experiments are undertaken in order to assess whether results of the 1D von Neumann analysis (which is inherently linear) extend to real world problem...
Succinct Non-Interactive Arguments for a von Neumann Architecture
Succinct Non-Interactive Arguments a von Neumann Architecture
2014/3/5
We design and build a system that enables clients to verify the outputs of programs executed by
untrusted servers. A server provides a succinct non-interactive zero-knowledge proof (also known as a
...
Does the theory of tracial von Neumann algebras have a model companion?
the theory of tracial von Neumann algebras model companion Logic
2012/7/11
In this note, we show that, assuming a positive solution to the Connes Embedding Problem (CEP), the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fa...
We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as ...
Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem
Norming algebra Cartan MASA C*-diagonal
2012/3/1
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
The Smooth Entropy Formalism on von Neumann Algebras
Smooth Entropy Formalism von Neumann Algebras Quantum Physics
2011/10/9
Abstract: We discuss quantum information theoretical concepts on von Neumann algebras and lift the smooth entropy formalism to the most general quantum setting. For the smooth min- and max-entropies w...
Topologies on Central Extensions of Von Neumann Algebras
Von Neumann Algebras Topologies Operator Algebras
2011/9/21
Abstract: Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We introduce the topology $t_c(M)$ on $E(M)$ generated by a center-valued norm and prove that it coincides wi...
Infinitely many constrained inequalities for the von Neumann entropy
von Neumann entropy Quantum Physics
2011/9/29
Abstract: We exhibit infinitely many new, constrained inequalities for the von Neumann entropy, and show that they are independent of each other and the known inequalities obeyed by the von Neumann en...
On commutative, operator amenable subalgebras of finite von Neumann algebras
On commutative operator amenable subalgebras finite von Neumann algebras
2011/2/23
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open
even for singly-generated ...
Freeness of Linear and Quadratic Forms in von Neumann Algebras
Free random variables free convolutions a characterization of the semicircle law
2011/2/28
We characterize the semicircular distribution by freeness of linear and qua-dratic forms in noncommutative random variables from tracial W-probability spaces with relaxed moment conditions.