Uniqueness, universality, and homogeneity of the noncommutative Gurarij space
作者： Martino Lupini
DOI: 10.1016/J.AIM.2016.04.017
关键词:
摘要: We realize the noncommutative Gurarij space NG defined by Oikhberg as Fraisse limit of class finite-dimensional 1-exact operator spaces. As a consequence we deduce that is unique up to completely isometric isomorphism, homogeneous, and universal among separable also prove nuclear with property canonical triple morphism from TRO envelope an isomorphism. this fact does not embed isometrically into exact C*-algebra, it isomorphic C*-algebra or TRO. provide construction NG, which shows group surjective complete isometries Polish groups. Analog results are proved in commutative setting and, more generally, for M_n-spaces. In particular, new characterization Banach space.
arxiv-vanity.com参考文章(79)
Franz Lehner, M [indice] n-ESPACES, SOMMES D'UNITAIRES ET ANALYSE HARMONIQUE SUR LE GROUPE LIBRE Paris 6. ,(1997)
Gerd Wittstock, On Matrix Order and Convexity North-holland Mathematics Studies. ,vol. 90, pp. 175- 188 ,(1984) , 10.1016/S0304-0208(08)71474-9
Marius Junge, Narutaka Ozawa, Zhong-Jin Ruan, On ℒ∞ structures of nuclear C*-algebras Mathematische Annalen. ,vol. 325, pp. 449- 483 ,(2003) , 10.1007/S00208-002-0384-7
Christian Le Merdy, David P. Blecher, Operator Algebras and Their Modules: An Operator Space Approach ,(2005)
Isaac Goldbring, Martino Lupini, Model-theoretic aspects of the Gurarij operator system arXiv: Logic. ,(2015)
Nathanial Brown, Narutaka Ozawa, Narutaka Ozawa, C*-Algebras and Finite-Dimensional Approximations ,(2008)
Gilles Pisier, Introduction to Operator Space Theory ,(2003)
Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson, Alexander Usvyatsov, Model theory for metric structures Model Theory with Applications to Algebra and Analysis. pp. 315- 427 ,(2008) , 10.1017/CBO9780511735219.011
Vladimir Pestov, Topological groups: where to from here? arXiv: General Topology. ,(1999)
Erling Størmer, Mikael Rørdam, Classification of Nuclear C*-Algebras. Entropy in Operator Algebras ,(2001)