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- W2006677573 abstract "We study norm topology amenability of the unitary group of a unital C*-algebra, and its relations with nuclearity and stably finiteness. These considerations lead to an operator-space version of group amenability. The main result is the following: Let A be a unital separable simple C*-algebra. 1. If A is nuclear and quasidiagonal, then the unitary group sequence {U(M n (A))} ∞ n=1 is amenable. 2. If {U(M n (A))} ∞ n=1 is amenable, then A is nuclear and stably finite." @default.
- W2006677573 created "2016-06-24" @default.
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- W2006677573 date "2006-01-01" @default.
- W2006677573 modified "2023-09-27" @default.
- W2006677573 title "Amenability of the sequence of unitary groups associated with a C*-algebra" @default.
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- W2006677573 doi "https://doi.org/10.1512/iumj.2006.55.2791" @default.
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