CAR flows on type III factors and their extendability

Bikram Panchugopal

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CAR flows on type III factors and their extendability

机译：CAR在III型因素上的流动及其可扩展性

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In this paper we prove that the CAR flows on type III factors arising from a large class of quasi-free states are not extendable, in the sense of Bikram, Izumi, Srinivasan and Sunder.(8) As a consequence, CAR flows and CCR flows on type III factors are not cocycle conjugate. This is in sharp contrast with the situation for the type I-infinity factor, for which CAR and CCR flows are in fact conjugate. In addition, we also compute the super-product systems associated to CAR flows.

机译：在本文中，我们证明了从Bikram，Izumi，Srinivasan和Sunder的意义上说，源自一类大类准自由状态的III型因子的CAR流量是不可扩展的。（8）结果，CAR流量和CCR III型因子的流量不是cocycle缀合物。这与I型无穷大因子的情况形成了鲜明的对比，对于I型无穷大因子，CAR和CCR流量实际上是共轭的。此外，我们还计算与CAR流相关的超级产品系统。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2014年第4期|共26页
作者
Bikram Panchugopal;
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正文语种 eng
中图分类物理学;
关键词
*-endomorphisms; E-0-semigroups; equimodular; factors; noncommutative probability; super product systems; CCR flows CAR flows;

机译：*-同胚;E-0-半群;等模;因子;非交换概率;超乘积系统;CCR流量CAR流量;

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CAR flows on type III factors and their extendability

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