On the algebra generated by two projections.
- Resource Type
- Article
- Authors
- Borac, Silviu
- Source
- Journal of Mathematical Physics. Feb95, Vol. 36 Issue 2, p863. 12p.
- Subject
- *VON Neumann algebras
*HILBERT space
*QUANTUM Hall effect
*SELFADJOINT operators
- Language
- ISSN
- 0022-2488
Studies the von Neumann algebra generated by a pair of projections on a separable Hilbert space in quantum Hall systems, based on Kato's dual pair of self-adjoint operators. Kato's operators; Decomposition and the commutative part of the algebra; Noncommutative part; Automorphisms of the noncommutative algebra; First-order differential calculus.