NOTES ON THR FACTORS OVER THE HILBERT SPACE $L^2$$(R_G,mu_l)$

We construct factors of type III and of type $II_\infty$ over the Hilbert spaces on the equivalence relations.

An Invitation to Von Neumann Algebras V. S. Sunder
Coxeter Graphs and Tower od ALgebras F. M. Goodman;P. de la Harpe;V. F. R. Jones
Fundamentals of the Theory of Operator Algebras I R. V. Kadison;J. R. Ringrose
Fundamentals of the Theory of Operator Algebras II R. V. Kadison;J. R. Ringrose
Trans. of the A. M. S. v.234 no.N2 Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras J. Feldman;C. C. moore
Trans. of the A. M. S. Ergodic Equivalence Relations, Cohomology and Von Neumann Algebras II J. Feldman;C. C. moore
Warsow-Livoue Topologie Kuratowski