Journal article
Locating the radical of a triangular operator algebra
Mathematical proceedings of the Cambridge Philosophical Society, Vol.115(1), pp.27-38
01/1994
DOI: 10.1017/S0305004100071899
Abstract
Our primary objective is to give necessary and sufficient conditions for a triangular subalgebra of a groupoid C-algebra to be semisimple, i.e. to have vanishing Jacobson radical. If, in addition, the subalgebra is the analytic subalgebra determined by a real-valued cocycle on the groupoid, then we can give an explicit description of the radical in terms of the cocycle. As a consequence of this analysis, we are able to determine when certain analytic crossed products are semisimple.
Details
- Title: Subtitle
- Locating the radical of a triangular operator algebra
- Creators
- Laura Mastrangelo - Department of Mathematics, University of Puerto Rico, Mayaguez, PR 00681Paul S Muhly - Department of Mathematics, University of Iowa, Iowa City, la 52246Baruch Solel - Department of Mathematics, The Technion, 36000 Haifa, Israel
- Resource Type
- Journal article
- Publication Details
- Mathematical proceedings of the Cambridge Philosophical Society, Vol.115(1), pp.27-38
- Publisher
- Cambridge University Press
- DOI
- 10.1017/S0305004100071899
- ISSN
- 0305-0041
- eISSN
- 1469-8064
- Number of pages
- 12
- Language
- English
- Date published
- 01/1994
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083230502771
Metrics
8 Record Views