spaces of the von Neumann algebra of a measured groupoid

Comptes Rendus Mathematique - Tập 346 - Trang 969-974 - 2008
Patricia Boivin1
1Université d'Orléans, MAPMO, B.P. 6759, 45067 Orléans cedex 2, France

Tài liệu tham khảo

Benadek, 1961, The spaces Lp with mixed norm, Duke Math. J., 28, 301, 10.1215/S0012-7094-61-02828-9 Connes, 1980, On the spatial theory of von Neumann algebras, J. Funct. Anal., 35, 153, 10.1016/0022-1236(80)90002-6 Eymard, 1964, L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France, 92, 181, 10.24033/bsmf.1607 Haagerup, 1979, Lp-spaces associated with an arbitrary von Neumann algebra, vol. 274, 175 Hahn, 1978, Haar measure for measure groupoids, Trans. Amer. Math. Soc., 242, 10.1090/S0002-9947-1978-0496796-6 Hilsum, 1981, Les espaces Lp d'une algèbre de von Neumann définies par la dérivée spatiale, J. Funct. Anal., 40, 151, 10.1016/0022-1236(81)90065-3 Kato, 1976, Perturbation Theory for Linear Operators Kosaki, 1984, Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces, J. Funct. Anal., 56, 29, 10.1016/0022-1236(84)90025-9 Kunze, 1958, Lp Fourier Transforms on locally compact unimodular groups, Trans. Amer. Math. Soc., 89, 519 Russo, 1977, On the Hausdorff–Young theorem for integral operators, Pacific J. Math., 68, 241, 10.2140/pjm.1977.68.241 Takesaki, 1970, Tomita's Theory of Modular Hilbert Algebras and its Applications, vol. 128 Takesaki, 2003, Theory of Operator Algebras T3, vol. 125 M. Terp, Lp Fourier Transformation on non-unimodular locally compact groups, Kobenhavns Universitet Matematisk Institut, Preprint, 1980 Terp, 1982, Interpolation spaces between a von Neumann algebra and its predual, J. Operator Theory, 8, 327