The Effros-Maréchal topology in the space of von Neumann algebras, II

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

The Effros-Maréchal topology in the space of von Neumann algebras, II. / Haagerup, Uffe; Winsløw, Carl.

I: Journal of Functional Analysis, Bind 171, Nr. 2, 10.03.2000, s. 401-431.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Haagerup, U & Winsløw, C 2000, 'The Effros-Maréchal topology in the space of von Neumann algebras, II', Journal of Functional Analysis, bind 171, nr. 2, s. 401-431. https://doi.org/10.1006/jfan.1999.3538

APA

Haagerup, U., & Winsløw, C. (2000). The Effros-Maréchal topology in the space of von Neumann algebras, II. Journal of Functional Analysis, 171(2), 401-431. https://doi.org/10.1006/jfan.1999.3538

Vancouver

Haagerup U, Winsløw C. The Effros-Maréchal topology in the space of von Neumann algebras, II. Journal of Functional Analysis. 2000 mar. 10;171(2):401-431. https://doi.org/10.1006/jfan.1999.3538

Author

Haagerup, Uffe ; Winsløw, Carl. / The Effros-Maréchal topology in the space of von Neumann algebras, II. I: Journal of Functional Analysis. 2000 ; Bind 171, Nr. 2. s. 401-431.

Bibtex

@article{e05ee039fa074a50bfe8599a04d4daa2,
title = "The Effros-Mar{\'e}chal topology in the space of von Neumann algebras, II",
abstract = "We continue our study [9] of the Effros-Mar{\'e}chal 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.",
author = "Uffe Haagerup and Carl Winsl{\o}w",
year = "2000",
month = mar,
day = "10",
doi = "10.1006/jfan.1999.3538",
language = "English",
volume = "171",
pages = "401--431",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "2",

}

RIS

TY - JOUR

T1 - The Effros-Maréchal topology in the space of von Neumann algebras, II

AU - Haagerup, Uffe

AU - Winsløw, Carl

PY - 2000/3/10

Y1 - 2000/3/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034628713&partnerID=8YFLogxK

U2 - 10.1006/jfan.1999.3538

DO - 10.1006/jfan.1999.3538

M3 - Journal article

AN - SCOPUS:0034628713

VL - 171

SP - 401

EP - 431

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -

ID: 233652616