A continuous field of projectionless C*-algebras

Authors
Citation
A. Dean, A continuous field of projectionless C*-algebras, CAN J MATH, 53(1), 2001, pp. 51-72
Citations number
18
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X → ACNP
Volume
53
Issue
1
Year of publication
2001
Pages
51 - 72
Database
ISI
SICI code
0008-414X(200102)53:1<51:ACFOPC>2.0.ZU;2-5
Abstract
We use some results about stable relations to show that some of the simple, stable, projectionless crossed products of O-2 by R considered by Kishimot o and Kumjian are inductive limits of type I C*-algebras. The type I C*-alg ebras that arise are pullbacks of finite direct sums of matrix algebras ove r the continuous functions on the unit interval by finite dimensional C*-al gebras.