Y. KawahigashiUniversity of Tokyo, Tokyo, JapanC. E. SutherlandUniversity of New South Wales, Kensington, New South Wales, AustraliaM. TakesakiUniversity of California, Los Angeles, CA, USA
Elliott G A. Towards a theory of classification[J]. Advances in Mathematics, 2007, 223(1): 30-48.
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Falcone T, Takesaki M. The Non-commutative Flow of Weights on a Von Neumann Algebra[J]. Journal of Functional Analysis, 2001, 182(1): 170-206.
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Yasuyuki Kawahigashi. Centrally trivial automorphisms and an analogue of Connes’s $\chi(M)$ for subfactors. 1993.
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Ando H, Haagerup U. Ultraproducts of von Neumann Algebras[J]. Journal of Functional Analysis, 2012, 266(12): 6842-6913.
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Masuda T, Tomatsu R. Classification of minimal actions of a compact Kac algebra with amenable dual[J]. Communications in Mathematical Physics, 2006, 274(2): 487-551.
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Kawahigashi Y. Classification of approximately inner automorphisms of subfactors[J]. Mathematische Annalen, 1997, 308(3): 425-438.
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David E Evans · Yasuyuki Kawahigashi. Subfactors and Conformal Field Theory. 1993.
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Masuda T, Tomatsu R. Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III[J]. Journal of Functional Analysis, 2008, 258(6): 1965-2025.
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Masuda T. Unified approach to classification of actions of discrete amenable groups on injective factors[J]. Crelle\u0027s Journal, 2010, 2013(683): 1-47.
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George Elliot · David E Evans · Akitaka Kishimoto. Outer conjugacy classes of trace scaling automorphisms of stable UHF algebras. 1998.
By the relative trace formula approach of Jacquet–Rallis, we prove the global Gan– Gross–Prasad conjecture for unitary groups under some local restrictions for the automor- phic representations.