Graded Hilbert C*-modules

Journal Article · Sat Feb 15 00:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4863902· OSTI ID:22251567

Wang, Chunxiang ^[1]

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1. Institute of Mathematics, Jilin University, Changchun 130012 (China)

The notion of Hilbert C*-modules graded by a semilattice was first introduced in the study of many-body systems. We show the relationship between these Hilbert C*-modules and their homogeneous subspaces. We study the stability of graded Hilbert C*-modules under tensor products and crossed products.

• OSTI ID: 22251567
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HILBERT SPACE
MANY-BODY PROBLEM
STABILITY
TENSORS