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PROJECTIVE COVARIANT REPRESENTATIONS OF LOCALLY C*-DYNAMICAL SYSTEMS

Title
PROJECTIVE COVARIANT REPRESENTATIONS OF LOCALLY C*-DYNAMICAL SYSTEMS
Author
허재성
Keywords
Locally C*-algebra; Hilbert module; Krein module; alpha-Completely positive map; J-Representation; Projective representation; Locally C*-dynamical system; Locally C*-crossed product
Issue Date
2013-03
Publisher
MATHEMATICAL SOC REP CHINA, NATL CHIAO TUNG UNIV, DEPT APPLIED MATHEMATICS,, HSINCHU, 00000, TAIWAN
Citation
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17(2), p.529-544
Abstract
As a generalization of covariant completely positive maps, we consider (projective) covariant a-completely positive maps between locally C*-algebras. We first study (projective) covariant J-representations of locally C*-algebras on Krein modules over locally C*-algebras. Secondly, we construct a covariant KS-GNS type representation associated with a covariant alpha-completely positive map on a locally C*-algebra, and then study extensions to a locally C*-crossed product of alpha-completely positive maps on a locally C*-algebra. The results provide (projective) covariant representations of a locally C*-crossed product on a Krein module over a locally C*-algebra.
URI
https://projecteuclid.org/euclid.twjm/1499705952http://hdl.handle.net/20.500.11754/49753
ISSN
1027-5487
DOI
10.11650/tjm.17.2013.2156
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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