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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Strong connectedness of the invertibles in a finite subdiagonal algebra


Authors: Michael Marsalli and Graeme West
Journal: Proc. Amer. Math. Soc. 128 (2000), 2967-2972
MSC (2000): Primary 46L52
Published electronically: April 7, 2000
MathSciNet review: 1670403
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Abstract:

Suppose $H^\infty$ is a finite, subdiagonal subalgebra of a von Neumann algebra. We show that the invertible group of $H^\infty$ is strongly connected.


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Additional Information

Michael Marsalli
Affiliation: Department of Mathematics, Campus Box 4520, Illinois State University, Normal, Illinois 61790-4520
Email: marsalli@math.ilstu.edu

Graeme West
Affiliation: Department of Mathematics, University of the Witwatersrand, 2050 WITS, South Africa
Email: 036weg@cosmos.wits.ac.za

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05388-0
PII: S 0002-9939(00)05388-0
Keywords: von Neumann algebra, finite subdiagonal algebras
Received by editor(s): June 15, 1998
Received by editor(s) in revised form: November 22, 1998
Published electronically: April 7, 2000
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society