Article citationsMore>>

Brown, L.G., Douglas, R.G. and Fillmore, P.A. (1973) Extensions of C*-Algebras, Operators with Compact Self-Commutators, and K-Homology. Bulletin of the American Mathematical Society, 79, 973-978.
https://doi.org/10.1090/S0002-9904-1973-13284-7

has been cited by the following article:

• TITLE: A Classification of Completely Positive Maps

  AUTHORS: Ruofei Wang, Shudong Liu, Changguo Wei

  KEYWORDS: Completely Positive Map, Extension, Ext-Group

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.12, December 26, 2022

  ABSTRACT: This paper concerns classifying completely positive maps between certain C*-algebras. Several invariants for classifying completely positive maps are constructed. It is proved that one of them is isomorphic to the Ext-group of C*-algebra extensions in special circumstances. Furthermore, this invariant induces a functor from C*-algebras to abelian groups which is split-exact.