Uniqueness, Universality, and Homogeneity of the Noncommutative Gurarij Space

نویسنده

  • MARTINO LUPINI
چکیده

We realize the noncommutative Gurarij space NG defined by Oikhberg as the Fräıssé limit of the class of finite-dimensional 1-exact operator spaces. As a consequence we deduce that the noncommutative Gurarij space is unique up to completely isometric isomorphism, homogeneous, and universal among separable 1-exact operator spaces. Moreover we show that NG is isometrically isomorphic to the Gurarij Banach space.

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تاریخ انتشار 2014