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Covariant representations on Krein C*-modules associated to pairs of two mapsopen access
- Authors
- Heo, Jaeseong; Ji, Un Cig; Kim, Young Yi
- Issue Date
- Feb-2013
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- alpha-completely positive map; KSGNS type representation; Fundamental symmetry; Krein C*-module; Covariant rho-map; Covariant J-representation; Crossed product of a Hilbert C*-module by a locally compact group
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.398, no.1, pp.35 - 45
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 398
- Number
- 1
- Start Page
- 35
- End Page
- 45
- ISSN
- 0022-247X
- Abstract
- In this paper we construct a KSGNS type covariant representation on a Krein C*-module for a covariant alpha-completely positive map, and the result is applied to construct a KSGNS type covariant representation associated with a pair of two maps (rho, Phi) where rho is a covariant alpha-completely positive map on a C*-algebra and Phi, is a covariant rho-map on a Krein C*-module. The KSGNS type covariant representation for a pair (rho, Phi) is applied to give a new covariant J-representation of a crossed product of a C*-algebra and a new covariant map of a crossed product of a Hilbert C*-module by a discrete group.
- Appears in
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)