Journal article
DILATIONS AND COMMUTANT LIFTING FOR SUBALGEBRAS OF GROUPOID C-ALGEBRAS
International journal of mathematics, Vol.5(1), pp.87-123
02/1994
DOI: 10.1142/S0129167X9400005X
Abstract
Let B be a nuclear C*-algebra that has a diagonal subalgebra D in the sense of Kumjian and let A be a closed, not necessarily self-adjoint subalgebra of B that contains D such that A + A* is dense in B. We show that every contractive representation of A has an essentially unique minimal dilation to a C*-representation of B and that the commutant of the representation of A can be lifted to the commutant of the dilation without increasing norms.
Details
- Title: Subtitle
- DILATIONS AND COMMUTANT LIFTING FOR SUBALGEBRAS OF GROUPOID C-ALGEBRAS
- Creators
- PAUL S MUHLY - Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1446, USABARUCH SOLEL - Department of Mathematics, Technion, 32000 Haifa, Israel
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.5(1), pp.87-123
- DOI
- 10.1142/S0129167X9400005X
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 02/1994
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083236602771
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