Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. / Enock, Michel; Nest, Ryszard.

I: Journal of Functional Analysis, Bind 137, Nr. 2, 01.05.1996, s. 466-543.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Enock, M & Nest, R 1996, 'Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras', Journal of Functional Analysis, bind 137, nr. 2, s. 466-543. https://doi.org/10.1006/jfan.1996.0053

APA

Enock, M., & Nest, R. (1996). Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. Journal of Functional Analysis, 137(2), 466-543. https://doi.org/10.1006/jfan.1996.0053

Vancouver

Enock M, Nest R. Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. Journal of Functional Analysis. 1996 maj 1;137(2):466-543. https://doi.org/10.1006/jfan.1996.0053

Author

Enock, Michel ; Nest, Ryszard. / Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. I: Journal of Functional Analysis. 1996 ; Bind 137, Nr. 2. s. 466-543.

Bibtex

@article{c5c655b3522243c0928254ca4356e250,
title = "Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras",
abstract = "From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction. In particular we rederive Herman and Ocneanu's results when the inclusion admits a faithful normal conditional expectation, and the tower is then the crossed-product construction, alternatively by a compact quantum group and by its dual, and, more precisely, according to Yamagami's result, by a compact type Kac algebra and by its dual.",
author = "Michel Enock and Ryszard Nest",
year = "1996",
month = may,
day = "1",
doi = "10.1006/jfan.1996.0053",
language = "English",
volume = "137",
pages = "466--543",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "2",

}

RIS

TY - JOUR

T1 - Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras

AU - Enock, Michel

AU - Nest, Ryszard

PY - 1996/5/1

Y1 - 1996/5/1

N2 - From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction. In particular we rederive Herman and Ocneanu's results when the inclusion admits a faithful normal conditional expectation, and the tower is then the crossed-product construction, alternatively by a compact quantum group and by its dual, and, more precisely, according to Yamagami's result, by a compact type Kac algebra and by its dual.

AB - From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction. In particular we rederive Herman and Ocneanu's results when the inclusion admits a faithful normal conditional expectation, and the tower is then the crossed-product construction, alternatively by a compact quantum group and by its dual, and, more precisely, according to Yamagami's result, by a compact type Kac algebra and by its dual.

UR - http://www.scopus.com/inward/record.url?scp=0030137710&partnerID=8YFLogxK

U2 - 10.1006/jfan.1996.0053

DO - 10.1006/jfan.1996.0053

M3 - Journal article

AN - SCOPUS:0030137710

VL - 137

SP - 466

EP - 543

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -

ID: 237365390