Journal article
COVARIANCE GROUP C-ALGEBRAS AND GALOIS CORRESPONDENCE
International journal of mathematics, Vol.2(6), pp.673-699
12/1991
DOI: 10.1142/S0129167X91000375
Abstract
The main purpose of this paper is to establish a Galois correspondence for a given covariant group system, its associated C*-algebra and Hopf C*-algebra. On the way to this, we first study covariance group C*-algebras and their representations, and prove a result which is simpler but yet very similar to the C*-algebra case in the main body of the paper. We then show that there is a Galois correspondence between the lattice of normal subgroups of the given covariant group system and a corresponding lattice of certain invariant *-subalgebras of the covariant group C*-algebra; in particular, there is a natural Galois correspondence for the group C*-algebra. We further study this Galois correspondence for the Hopf C*-algebras associated with covariant group systems.
Details
- Title: Subtitle
- COVARIANCE GROUP C-ALGEBRAS AND GALOIS CORRESPONDENCE
- Creators
- PALLE E. T JORGENSEN - Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USAXIU-CHI QUAN - Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USA
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.2(6), pp.673-699
- DOI
- 10.1142/S0129167X91000375
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 12/1991
- Academic Unit
- Mathematics
- Record Identifier
- 9983986094402771
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