Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 137 |
Issue number | 2 |
Pages (from-to) | 466-543 |
Number of pages | 78 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - 1 May 1996 |
ID: 237365390