Abstract
Crossed product is a powerful tool in generating von Neumann algebras from covariant systems. In classical cases, the action space of a von Neumann algebra from a crossed product is extremely abstract. In order to make the action space simple, a covariant system of finite type was defined. In the system a concise characterization of the crossed product was given by constructing a new von Neumann algebra, which is isomorphic to the algebra from the classical case.
Original language | English |
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Pages (from-to) | 644-646 |
Number of pages | 3 |
Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
Volume | 35 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2015 |
Keywords
- Covariant systems
- Crossed product
- Faithful trace
- Von Neumann algebra
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Xin, Q. L., Jiang, L. N., & Zhi, P. (2015). Crossed product for covariant systems of finite type. Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology, 35(6), 644-646. https://doi.org/10.15918/j.tbit1001-0645.2015.06.019