Nonasymptotically abelian factors of type 𝐼𝐼𝐼

Nonasymptotically abelian factors of type $\textrm {III}$
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by Wai Mee Ching and Paul Willig PDF

Proc. Amer. Math. Soc. 34 (1972), 102-104 Request permission

There exists a continuum of nonisomorphic nonasymptotically abelian type III factors on separable Hilbert spaces.

References

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J. Dixmier and E. C. Lance, Deux nouveaux facteurs de type $\textrm {II}_{1}$, Invent. Math. 7 (1969), 226–234 (French). MR 248535, DOI 10.1007/BF01404307

Asymptotic abelianness of infinite factors

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