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Strong connectedness of the invertibles in a finite subdiagonal algebra

Author(s): Michael Marsalli; Graeme West
Journal: Proc. Amer. Math. Soc. 128 (2000), 2967-2972.
MSC (2000): Primary 46L52
Posted: April 7, 2000
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Abstract | References | Similar articles | Additional information

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: 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
Posted: April 7, 2000
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society


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