Values of the Pukánszky invariant in McDuff factors
作者： Stuart White
DOI: 10.1016/J.JFA.2007.10.011
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摘要: Abstract In 1960 Pukanszky introduced an invariant associating to every masa in a separable II 1 factor non-empty subset of N ∪ { ∞ } . This examines the multiplicity structure von Neumann algebra generated by left-right action masa. this paper it is shown that any arises as some McDuff containing with particular hyperfinite and all factors Cartan satisfy hypothesis. general we show obtained
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sci-hub.se 参考文章(18)
Alain Connes, Outer conjugacy classes of automorphisms of factors Annales Scientifiques De L Ecole Normale Superieure. ,vol. 8, pp. 383- 419 ,(1975) , 10.24033/ASENS.1295
Richard Kadison, John Robert Ringrose, Fundamentals of the Theory of Operator Algebras ,(1983)
Allan M. Sinclair, Roger R. Smith, The Pukánszky invariant for masas in group von Neumann factors Illinois Journal of Mathematics. ,vol. 49, pp. 325- 343 ,(2005) , 10.1215/IJM/1258138021
Allan Sinclair, Alan Wiggins, Stuart White, Roger Smith, Strong singularity of singular masas in II 1 factors arXiv: Operator Algebras. ,(2006)
Narutaka Ozawa, Sorin Popa, On a class of $\mathrm{II}_1$ factors with at most one Cartan subalgebra arXiv: Operator Algebras. ,(2007)
Kenneth J. Dykema, Two applications of free entropy Mathematische Annalen. ,vol. 308, pp. 547- 558 ,(1997) , 10.1007/S002080050088
A. Connes, J. Feldman, B. Weiss, An amenable equivalence relation is generated by a single transformation Ergodic Theory and Dynamical Systems. ,vol. 1, pp. 431- 450 ,(1981) , 10.1017/S014338570000136X
Stuart White, TAUER MASAS IN THE HYPERFINITE II1 FACTOR Quarterly Journal of Mathematics. ,vol. 57, pp. 377- 393 ,(2006) , 10.1093/QMATH/HAI012
Sergey Neshveyev, Erling Størmer, Ergodic Theory and Maximal Abelian Subalgebras of the Hyperfinite Factor Journal of Functional Analysis. ,vol. 195, pp. 239- 261 ,(2002) , 10.1006/JFAN.2002.3967
Kenneth J. Dykema, Allan M. Sinclair, Roger R. Smith, Values of the Pukánszky invariant in free group factors and the hyperfinite factor Journal of Functional Analysis. ,vol. 240, pp. 373- 398 ,(2006) , 10.1016/J.JFA.2006.03.026