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2014 Tensor products of unbounded operator algebras
M. Fragoulopoulou, A. Inoue, M. Weigt
Rocky Mountain J. Math. 44(3): 895-912 (2014). DOI: 10.1216/RMJ-2014-44-3-895

Abstract

The term $GW^*$-algebra means a generalized $W^*$-algebra and corresponds to an unbounded generalization of a standard von Neumann algebra. It was introduced by the second named author in 1978 for developing the Tomita-Takesaki theory in algebras of unbounded operators. In this note we consider tensor products of unbounded operator algebras resulting in a $GW^*$-algebra. Existence and uniqueness of the $GW^*$-tensor product is encountered, while ``properly $W^*$-infinite" $GW^*$-algebras are introduced and their structure is investigated.

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M. Fragoulopoulou. A. Inoue. M. Weigt. "Tensor products of unbounded operator algebras." Rocky Mountain J. Math. 44 (3) 895 - 912, 2014. https://doi.org/10.1216/RMJ-2014-44-3-895

Information

Published: 2014
First available in Project Euclid: 28 September 2014

zbMATH: 1321.46076
MathSciNet: MR3264488
Digital Object Identifier: 10.1216/RMJ-2014-44-3-895

Subjects:
Primary: 46M05, 47L60

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

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Vol.44 • No. 3 • 2014
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