Journal article
SYMMETRY IN TENSOR ALGEBRAS OVER HILBERT SPACE
Illinois journal of mathematics, Vol.55(3), pp.977-1013
09/01/2011
DOI: 10.1215/ijm/1369841794
Abstract
This paper deals with three issues: (1) Unitary representations U of a scale of (finite and infinite dimensional) non-compact Lie groups G(H) built on a fixed complex Hilbert space H; and their covariant systems. Our computations for these representations make use of the associated Lie algebras. (2) The covariant representations involve the C*-algebras going by the names, the Toeplitz algebras, and the Cuntz algebras. (3) An essential result which also is used throughout is our computation of the commutant of the unitary representation U of G(H) mentioned in (1). For a fixed Hilbert space H, we apportion the commutant as a specific projective limit-algebra of operators.
Details
- Title: Subtitle
- SYMMETRY IN TENSOR ALGEBRAS OVER HILBERT SPACE
- Creators
- Palle E. T Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USAIlwoo Cho - Ambrose University
- Resource Type
- Journal article
- Publication Details
- Illinois journal of mathematics, Vol.55(3), pp.977-1013
- Publisher
- UNIV ILLINOIS URBANA-CHAMPAIGN
- DOI
- 10.1215/ijm/1369841794
- ISSN
- 0019-2082
- eISSN
- 1945-6581
- Number of pages
- 37
- Grant note
- U.S. National Science Foundation
- Language
- English
- Date published
- 09/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984241056702771
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