Toeplitz CAR流和I型分解

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2009-06-10 DOI:10.1215/0023608X-2009-001

Masaki Izumi, R. Srinivasan

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引用次数: 9

摘要

Toeplitz CAR流是一类e_0 -半群，包括R. T. Powers构造的第一个III型例子。我们证明了Toeplitz CAR流包含不可数的互非循环共轭e_0半群。我们还推广了power使用的Toeplitz CAR流的III型准则(后来由W. Arveson改进)，并表明Toeplitz CAR流总是I型或III型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Toeplitz CAR flows and type I factorizations

Toeplitz CAR flows are a class of E_0-semigroups including the first type III example constructed by R. T. Powers. We show that the Toeplitz CAR flows contain uncountably many mutually non cocycle conjugate E_0-semigroups of type III. We also generalize the type III criterion for Toeplitz CAR flows employed by Powers (and later refined by W. Arveson), and show that Toeplitz CAR flows are always either of type I or type III.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.