Geodesic
Non-Isomorphic Non-Hyperfinite Factors
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1293-1308

Voir la notice de l'article provenant de la source Cambridge University Press

A von Neumann algebra is called hyperfinite if it is the weak closure of an increasing sequence of finite-dimensional von Neumann subalgebras. For a separable infinite-dimensional Hilbert space the following is known: there exist hyperfinite and non-hyperfinite factors of type II1 (4, Theorem 16’), and of type III (8, Theorem 1); all hyperfinite factors of type Hi are isomorphic (4, Theorem 14); there exist uncountably many non-isomorphic hyperfinite factors of type III (7, Theorem 4.8); there exist two nonisomorphic non-hyperfinite factors of type II1 (10), and of type III (11). In this paper we will show that on a separable infinite-dimensional Hilbert space there exist three non-isomorphic non-hyperfinite factors of type II1 (Theorem 2), and of type III (Theorem 3).Section 1 contains an exposition of crossed product, which is developed mainly for the construction of factors of type III in § 3. 
Ching, Wai-Mee. Non-Isomorphic Non-Hyperfinite Factors. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1293-1308. doi: 10.4153/CJM-1969-142-6
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