The Effros-Maréchal topology in the space of von Neumann algebras, II
Research output: Contribution to journal › Journal article › Research › peer-review
We continue our study [9] of the Effros-Maréchal topology on the space vN(H) of all von Neumann algebras acting on a fixed separable Hilbert space H. In particular, we prove that factors of each of the types: II1, II∞, and (for fixed λ∈[0, 1]) IIIλ, form a dense subset of vN(H). Moreover, the density of type I-factors (or, equivalently, of injective factors) in vN(H), is proved to be equivalent to famous conjectures by A. Connes and E. Kirchberg.
Original language | English |
---|---|
Journal | Journal of Functional Analysis |
Volume | 171 |
Issue number | 2 |
Pages (from-to) | 401-431 |
Number of pages | 31 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - 10 Mar 2000 |
ID: 233652616