Isomorphisms Of Factors Of Infinite Type
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 322-327
- https://doi.org/10.4153/cjm-1955-035-3
Abstract
1. Introduction. One of the striking results of the work done by Murray and von Neumann (9) in the analysis of rings of operators on a Hilbert space is the reduction of the unitary equivalence problem for certain types of factors to the problem of algebraic equivalence. Roughly speaking, they associate with each concrete representation of a factor a number (which measures the relative size of the factor and its commutant)—the so-called “coupling constant.”Keywords
This publication has 8 references indexed in Scilit:
- The unitary structure in finite rings of operatorsDuke Mathematical Journal, 1953
- Some contributions to the theory of rings of operatorsTransactions of the American Mathematical Society, 1953
- Unitary equivalence of factors of type IIIProceedings of the Japan Academy, Series A, Mathematical Sciences, 1953
- Projections in Banach AlgebrasAnnals of Mathematics, 1951
- Decompositions of operator algebras. IMemoirs of the American Mathematical Society, 1951
- On Rings of Operators. IVAnnals of Mathematics, 1943
- Unitarinvariante Hypermaximale Normale OperatorenAnnals of Mathematics, 1941
- On Rings of OperatorsAnnals of Mathematics, 1936