Fra\"iss\'e limits of C*-algebras
作者： Christopher J. Eagle , Ilijas Farah , Vladyslav Kalashnyk , Bradd Hart , Martino Lupini
DOI: 10.1017/JSL.2016.14
关键词:
摘要: We realize the Jiang-Su algebra, all UHF algebras, and hyperfinite II$_{1}$ factor as Fra\"iss\'e limits of suitable classes structures. Moreover by means theory we provide new examples AF algebras with strong homogeneity properties. As a consequence our analysis deduce Ramsey-theoretic results about class full-matrix algebras.
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sci-hub.st 参考文章(33)
Leonel Robert, Classification of inductive limits of 1-dimensional NCCW complexes Advances in Mathematics. ,vol. 231, pp. 2802- 2836 ,(2012) , 10.1016/J.AIM.2012.07.010
Wilhelm Winter, Stuart White, Yasuhiko Sato, Nuclear dimension and \mathcal Z-stability Inventiones Mathematicae. ,vol. 202, pp. 893- 921 ,(2015) , 10.1007/S00222-015-0580-1
Slawomir Solecki, Wieslaw Kubiś, A proof of uniqueness of the Gurarii space arXiv: Functional Analysis. ,(2011) , 10.1007/S11856-012-0134-9
Yasuhiko Sato, Stuart White, Wilhelm Winter, Nuclear dimension and $$\mathcal Z$$ Z -stability Inventiones mathematicae. ,vol. 202, pp. 893- 921 ,(2015) , 10.1007/S00222-015-0580-1
Wilhelm Winter, Hannes Thiel, The generator problem for Z -stable C * -algebras Transactions of the American Mathematical Society. ,vol. 366, pp. 2327- 2343 ,(2014) , 10.1090/S0002-9947-2014-06013-3
Eberhard Kirchberg, Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras Birkhäuser Basel. pp. 943- 954 ,(1995) , 10.1007/978-3-0348-9078-6_87
Martino Lupini, A UNIVERSAL NUCLEAR OPERATOR SYSTEM arXiv: Operator Algebras. ,(2014)
M. Rørdam, F. Larsen, N. Laustsen, An Introduction to K-Theory for C*-Algebras Cambridge University Press. ,(2000) , 10.1017/CBO9780511623806
Ilijas Farah, Logic and operator algebras arXiv: Logic. ,(2014)
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