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Von Neumann Algebras
, 2009
"... The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. In this sense it is opposite in spirit from the treatises of ..."
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Cited by 110 (5 self)
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The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. In this sense it is opposite in spirit from the treatises of
SOLID VON NEUMANN ALGEBRAS
, 2003
"... Dedicated to Professor Masamichi Takesaki on the occasion of his 70th birthday. Abstract. We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any noninjective subfactor in a hyperbolic group von Neum ..."
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Dedicated to Professor Masamichi Takesaki on the occasion of his 70th birthday. Abstract. We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any noninjective subfactor in a hyperbolic group von
SOLID VON NEUMANN ALGEBRAS
, 2003
"... Dedicated to Professor Masamichi Takesaki on the occasion of his 70th birthday. Abstract. We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any noninjective subfactor in a hyperbolic group von Neum ..."
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Dedicated to Professor Masamichi Takesaki on the occasion of his 70th birthday. Abstract. We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any noninjective subfactor in a hyperbolic group von
Topics in von Neumann algebras
, 2008
"... The emphasis of the workshop was given to active areas in the theory of von Neumann algebras with connections to other fields as well as to these other fields themselves. Among the participants there were many leading researchers in the theory of von Neumann algebras, but also representatives from g ..."
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The emphasis of the workshop was given to active areas in the theory of von Neumann algebras with connections to other fields as well as to these other fields themselves. Among the participants there were many leading researchers in the theory of von Neumann algebras, but also representatives from
HNN EXTENSIONS OF VON NEUMANN ALGEBRAS
, 2003
"... Reduced HNN extensions of von Neumann algebras (as well as C∗algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In several concrete settings, it will be illustrated how our results can be applied. ..."
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Cited by 13 (2 self)
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Reduced HNN extensions of von Neumann algebras (as well as C∗algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In several concrete settings, it will be illustrated how our results can be applied.
Weakly exact von Neumann algebras
"... Abstract. The theory of exact C ∗algebras was introduced by Kirchberg and has been influential in recent development of C ∗algebras. A fundamental result on exact C ∗algebras is a local characterization of exactness. The notion of weakly exact von Neumann algebras was also introduced by Kirchberg ..."
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Cited by 7 (0 self)
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Abstract. The theory of exact C ∗algebras was introduced by Kirchberg and has been influential in recent development of C ∗algebras. A fundamental result on exact C ∗algebras is a local characterization of exactness. The notion of weakly exact von Neumann algebras was also introduced
MAHARAM TRACES ON VON NEUMANN ALGEBRAS
, 905
"... Abstract. Traces Φ on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when Φ is the Maharam trace. The version of RadonNikodymtype theorem for Maharam traces is established. ..."
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Cited by 1 (0 self)
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Abstract. Traces Φ on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when Φ is the Maharam trace. The version of RadonNikodymtype theorem for Maharam traces is established.
Stone spectra of finite von Neumann algebras of type In
, 2006
"... In this paper, we clarify the structure of the Stone spectrum of an arbitrary finite von Neumann algebra R of type In. The main tool for this investigation is a generalized notion of rank for projections in von Neumann algebras of this type. 1 ..."
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In this paper, we clarify the structure of the Stone spectrum of an arbitrary finite von Neumann algebra R of type In. The main tool for this investigation is a generalized notion of rank for projections in von Neumann algebras of this type. 1
STONE SPECTRA OF VON NEUMANN ALGEBRAS OF TYPE In
, 2005
"... Abstract. The Stone spectrum of a von Neumann algebra is a generalization of the Gelfand spectrum, as was shown by de Groote. In this article we clarify the structure of the Stone spectra of von Neumann algebras of type In. 1. ..."
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Abstract. The Stone spectrum of a von Neumann algebra is a generalization of the Gelfand spectrum, as was shown by de Groote. In this article we clarify the structure of the Stone spectra of von Neumann algebras of type In. 1.
Factoriality of qgaussian von neumann algebras
 Comm. Math. Phys
"... We prove that the von Neumann algebras generated by n qGaussian elements, are factors for n � 2. 1 ..."
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Cited by 16 (1 self)
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We prove that the von Neumann algebras generated by n qGaussian elements, are factors for n � 2. 1
Results 1  10
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