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Index for pairs of
finite von Neumann algebras
Paul Jolissaint |
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Vol. 146 (1990), No. 1, 43–70
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Abstract |
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The Jones’ index of a pair N ⊂ M of finite von Neumann algebras with finite dimensional centers has been given two definitions: one ring-theoretic, and one using Markov traces. We extend here the second definition to the case of finite, σ-finite von Neumann algebras and we show that the two definitions agree when the algebras are direct sums of finite factors. We also study Markov traces on such pairs. |
Mathematical Subject Classification 2000
Primary: 46L37
Secondary: 46L10
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Milestones
Received: 20 November 1988
Revised: 30 March 1989
Published: 1 November 1990
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Authors |
| Paul Jolissaint | |
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