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Popa, Sorin

On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors. (English) Zbl 0481.46028

Invent. Math. 65, 269-281 (1981).
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Cited in 5 Reviews
Cited in 71 Documents

MSC:

46L35 Classifications of \(C^*\)-algebras

Keywords:

maximal abelian subalgebra; semifinite von Neumann subalgebra; normal conditional expectation; factors
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\textit{S. Popa}, Invent. Math. 65, 269--281 (1981; Zbl 0481.46028)
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References:

[1] Anderson, J., Bunce, J.: Stone-Weierstrass theorems for separableC *-algebras. J. Operator Theory6, 363-374 (1981) · Zbl 0501.46050
[2] Arveson, W.: Analyticity in operator algebras. Amer. J. Math.89, (3), 578-641 (1967) · Zbl 0183.42501
[3] Connes, A.: Almost periodic states and factors of type III1. J. Functional Analysis16(4), 415-445 (1974) · Zbl 0302.46050
[4] Connes, A.: Classification of injective factors. Ann. of Math.104, 73-115 (1976) · Zbl 0343.46042
[5] Dixmier, J.: Sous anneaux abéliens maximaux dans les facteurs de type fini. Ann. of Math.59, 279-286 (1954) · Zbl 0055.10702
[6] Fuglede, B., Kadison, R.V.: On a conjecture of Murray and von Neumann. Proc. Math. Acad. Sci. USA37, 420-425 (1951) · Zbl 0043.11702
[7] Jones, V., Popa, S.: Some properties of MASA’s in factors, preprint · Zbl 0508.46041
[8] Kadison, R.V.: Problems on von Neumann algebras. Baton Rouge Conference, 1967 (unpublished) · Zbl 0902.46037
[9] McDuff, D.: Central sequences and the hyperfinite factor. Proc. London Math. Soc.21, 443-461 (1970) · Zbl 0204.14902
[10] Strâtilâ, S., Zsido, L.: Lectures in von Neumann algebras. Editura Academiei, Bucure?ti and Tunbridge Wells. Abacus Press 1979
[11] Strâtilâ, S.: Modular theory, Editura Academiei, Bucure?ti and Tunbridge Wells. Abacus Press, 1981
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