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European Mathematical Society Publishing House
2016-09-19 17:05:24
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
4
1968
1
A Classification of Factors
Huzihiro
Araki
Kyoto University, KYOTO, JAPAN
E.
Woods
University of Maryland, COLLEGE PARK, UNITED STATES
A classification of factors is given. For every factor M we define an algebraic invariant r∞(M), called the asymptotic ratio set, which is a subset of the nonnegative real numbers. For factors which are tensor products of type I factors, the set r∞(M) must be one of the following sets: (i) the empty set. (ii) {0}. (iii) {1}, (iv) a one-parameter family of sets {0, xn; n = 0, ±1, ⋯}, 0
General
51
130
10.2977/prims/1195195263
http://www.ems-ph.org/doi/10.2977/prims/1195195263