On isomorphisms of inductive limit $C^ *$-algebras
HTML articles powered by AMS MathViewer
- by Klaus Thomsen
- Proc. Amer. Math. Soc. 113 (1991), 947-953
- DOI: https://doi.org/10.1090/S0002-9939-1991-1087472-1
- PDF | Request permission
Abstract:
We prove that for a large class of inductive limit ${C^*}$-algebras, including inductive limits of finite direct sums of interval and circle algebras, any $*$-isomorphism is induced from an approximate intertwining, in the sense of Elliott, between the inductive systems defining the algebras.References
- Ola Bratteli, Inductive limits of finite dimensional $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 171 (1972), 195–234. MR 312282, DOI 10.1090/S0002-9947-1972-0312282-2
- E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for $C^\ast$-algebras, Geometric methods in operator algebras (Kyoto, 1983) Pitman Res. Notes Math. Ser., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 152–180. MR 866493 G. A. Elliott, On the classification of ${C^*}$-algebras of real rank zero, preprint.
Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 947-953
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1087472-1
- MathSciNet review: 1087472