Bicrossproduct Kac Algebras, Bicrossproduct Groups and von Neumann Algebras of Takesaki's Type.
Takehiko Yamanouchi (1992)
Mathematica Scandinavica
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Takehiko Yamanouchi (1992)
Mathematica Scandinavica
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T. V. Panchapagesan (1993)
Extracta Mathematicae
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Mirzavaziri, M., Moslehian, M.S. (2009)
General Mathematics
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Osamu Hatori (2014)
Studia Mathematica
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We give a complete description of the structure of surjective isometries between the unitary groups of unital C*-algebras. While any surjective isometry between the unitary groups of von Neumann algebras can be extended to a real-linear Jordan *-isomorphism between the relevant von Neumann algebras, this is not the case for general unital C*-algebras. We show that the unitary groups of two C*-algebras are isomorphic as metric groups if and only if the C*-algebras are isomorphic in the...
Michael Yin-Hei Cheng (2012)
Studia Mathematica
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Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.
S. Doplicher, R. Longo (1984)
Inventiones mathematicae
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Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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Ernest Płonka (1997)
Annales Polonici Mathematici
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We present a new approach to determining supports of extreme, normed by 1, positive definite class functions of discrete groups, i.e. characters in the sense of E. Thoma [8]. Any character of a group produces a unitary representation and thus a von Neumann algebra of linear operators with finite normal trace. We use a theorem of H. Umegaki [9] on the uniqueness of conditional expectation in finite von Neumann algebras. Some applications and examples are given.
Carlo Cecchini (1995)
Mathematica Scandinavica
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Erik Bédos (1991)
Mathematica Scandinavica
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Uffe Haagerup (1978)
Mathematica Scandinavica
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Robert Pluta, Bernard Russo (2015)
Studia Mathematica
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It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple)...
Peter A. Linnell (1993)
Forum mathematicum
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Claire Anantharaman-Delaroche (1990)
Compositio Mathematica
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Herbert Halpern (1978)
Mathematica Scandinavica
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Stanisław Goldstein, Hans Jarchow, Louis E. Labuschagne (2006)
Banach Center Publications
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We consider compactness, weak compactness and complete continuity for multiplication operators on von Neumann algebras and their preduals.