INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS

CARLO CECCHINI

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INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS

机译：VON NEUMANN代数上的状态的独立性和马尔科夫性

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Several possible generalizations of the classical notion of markovianity are given for states defined on a von Neumann algebras generated on a triple of subalgebras. Their mutual relation is discussed in the particular case in which they mutually commute, and the generalization of the classical; time reversal theorem is proved. A structure theorem for a class of Markov chains is also proved.

机译：对于在三重子代数上生成的冯·诺伊曼代数上定义的状态，给出了马尔可夫性经典概念的几种可能的概括。在相互通勤的特定情况下讨论了它们之间的相互关系，并对经典进行了概括。时间逆定理得到证明。还证明了一类马尔可夫链的结构定理。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2007年第1期|共16页
作者
CARLO CECCHINI;
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正文语种 eng
中图分类物理学;
关键词
Markovianity; von Neumann algebras; states;

机译：马尔可夫性;冯·诺依曼代数;状态;

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专利

1. INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS [J] . CARLO CECCHINI Infinite dimensional analysis, quantum probability, and related topics . 2007,第1期

机译：VON NEUMANN代数上的状态的独立性和马尔科夫性
2. Dirichlet forms and symmetric Markovian semigroups on Z(2)-graded von Neumann algebras [Review] [J] . Bahn C., Ko CK., Park YM. Reviews in mathematical physics . 2003,第8期

机译：Z（2）级von Neumann代数上的Dirichlet形式和对称Markovian半群[综述]
3. Dilation of Markovian cocycles on a von Neumann algebra [J] . Goswami D., Lindsay JM., Sinha KB., Pacific journal of mathematics . 2003,第2期

机译：von Neumann代数上的马尔可夫环的扩张
4. Tracial and Arens algebras associated with finite von Neumann algebras [C] . Rustambay Abdullaev USA-Uzbekistan Conference on Analysis and Mathematical Physics . 2016

机译：与有限von neumann代数相关的套法和arens代数
5. Extensions of MF algebras and Volume Entropy in Finite von Neumann Algebras. [D] . Benson, David. 2016

机译：有限冯·诺依曼代数中的MF代数的扩展和体积熵。
6. A note on derivations of Murray–von Neumann algebras [O] . Richard V. Kadison, Zhe Liu 2014

机译：关于Murray–von Neumann代数的推导
7. Ergodic Property of Markovian Semigroups on Standard Forms of von Neumann Algebras [O] . Yong Moon Park 2005

机译：冯·诺依曼代数的标准形式的马尔可夫半群的遍历性质
8. Dynamical Entropy of C/sup */ Algebras and Von Neumann Algebras [R] . Connes, A. , Narnhofer, H. , Thirring, W. 1986

机译：C / sup * /代数和Von Neumann代数的动态熵

INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS

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