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Titlebook: Mappings of Operator Algebras; Proceedings of the J Huzihiro Araki,Richard V. Kadison Conference proceedings 1991 Birkhäuser Boston, Inc. 1

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Relative Entropy of a Fixed Point Algebra,1], V. Jones succeeded in classifying actions of a finite group . on the hyperfinite type II. factor ., up to conjugacy, associated with normal subgroups of ., characteristic invariants and inner invariants.
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Three Tensor Norms for Operator Spaces,h we call .). This portion of our talk includes some joint work with R.R. Smith [18]. The other tensor norms are the min and max norms on tensor products of non-selfadjoint operator algebras, which includes some joint work with S.C. Power ([16] and [17]).
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Representation of Quantum Groups,s of Kac algebras studied by Takesaki [9] and Enock and Schwartz [3] et al. are helpful for the study of quantum groups. As a result we can give a geometric interpretation for a .-analogue of a certain class of special functions, which has been a long standing problem of . analogues.
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Automorphism Groups and Covariant Irreducible Representations,will be with ‘type I orbits’ (which will be defined soon) in more restricted situations; especially with covariant irreducible representations. The latter was also the subject of my talk at the previous US-Japan seminar (cf. [10]).
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Conference proceedings 1991the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. T
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Derivations in Commutative C*-Algebras, left unsolved. Furthermore the structure of *-derivations commuting with group actions has rapidly become clear in the last decade. In this note, we shall not mention these structures, using as our references [Bra] and [T].
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