K-theoretic classification for certain inductive limit actions on real rank zero C-algebras
Author: Hongbing Su
Journal: Trans. Amer. Math. Soc. 348 (1996), 4199-4230
MSC (1991): Primary 46L80; Secondary 46L40
MathSciNet review: 1376557
Abstract: In this paper a K-theoretic classification is given of the C-algebra dynamical systems where is of real rank zero, each is a finite direct sum of matrix algebras over finite connected graphs, and each is induced by an action on each component of the spectrum of . Corresponding to the trivial actions is the K-theoretic classification for real rank zero C-algebras that can be expressed as finite direct sums of matrix algebras over finite graphs obtained in Mem. Amer. Math. Soc. no. 547, vol. 114.
Address at time of publication: The Fields Institute, 222 College Street, 2nd Floor, Toronto, Ontario, Canada, M5T 3J1
Keywords: K-theoretic classification, group actions on C$^*$-algebras
Received by editor(s): June 16, 1995
Additional Notes: This work was supported by a NSERC postdoctoral fellowship of Canada.
Article copyright: © Copyright 1996 American Mathematical Society