Simultaneous similarity, bounded generation and amenability
نویسندگان
چکیده
منابع مشابه
Simultaneous Similarity, Bounded Generation and Amenability
We prove that a discrete group G is amenable iff it is strongly unitarizable in the following sense: every unitarizable representation π on G can be unitarized by an invertible chosen in the von Neumann algebra generated by the range of π. Analogously a C *-algebra A is nuclear iff any bounded homomorphism u : A → B(H) is strongly similar to a *-homomorphism in the sense that there is an invert...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2007
ISSN: 0040-8735
DOI: 10.2748/tmj/1176734749