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January, 2002 Factorization in analytic crossed products
Tomoyoshi OHWADA, Kichi-Suke SAITO
J. Math. Soc. Japan 54(1): 21-33 (January, 2002). DOI: 10.2969/jmsj/1191593953


Let M be a von Neumann algebra, let α be a *-automorphism of M, and let MαZ be the crossed product determined by M and α. In this paper, considering the Cholesky decomposition for a positive operator in MαZ, we give a factorization theorem for positive operators in MαZ with respect to analytic crossed product MαZ+ determined by M and α. And we give a necessary and sufficient condition that every positive operator in MαZ can be factored by the form A*A, where A belongs to MαZ+(MαZ+)-1.


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Tomoyoshi OHWADA. Kichi-Suke SAITO. "Factorization in analytic crossed products." J. Math. Soc. Japan 54 (1) 21 - 33, January, 2002.


Published: January, 2002
First available in Project Euclid: 5 October 2007

zbMATH: 1033.46055
MathSciNet: MR1864926
Digital Object Identifier: 10.2969/jmsj/1191593953

Primary: 47L65
Secondary: 47C15

Keywords: Analytic crossed products

Rights: Copyright © 2002 Mathematical Society of Japan


Vol.54 • No. 1 • January, 2002
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