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On KSGNS representations on Krein C*-modules
- Authors
- Heo, Jaeseong; Hong, Jang Pyo; Ji, Un Cig
- Issue Date
- May-2010
- Publisher
- AMER INST PHYSICS
- Citation
- JOURNAL OF MATHEMATICAL PHYSICS, v.51, no.5, pp.1 - 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL PHYSICS
- Volume
- 51
- Number
- 5
- Start Page
- 1
- End Page
- 13
- ISSN
- 0022-2488
- Abstract
- Motivated by the notion of P-functional, we introduce a notion of alpha-completely positive map between *-algebras which is a Hermitian map satisfying a certain positivity condition, and then a alpha-completely positive map which is not completely positive is constructed. We establish the Kasparov-Stinespring-Gelfand-Naimark-Segal constructions of C*-algebra and *-algebra on Krein C*-modules with alpha-completely positive maps.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)