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alpha-completely positive maps of group systems and Krein module representationsopen access
- Authors
- Heo, Jaeseong
- Issue Date
- Jan-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- (Covariant) alpha-completely positive map on groups; J-representation; Group system; Locally C*-algebra; Krein module over locally C*-algebras; Projective isometric J-representation
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.409, no.1, pp.544 - 555
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 409
- Number
- 1
- Start Page
- 544
- End Page
- 555
- ISSN
- 0022-247X
- Abstract
- In this paper, we study (covariant) alpha-completely positive maps on group systems. We first introduce a notion of alpha-completely positive maps of groups into (locally) C*-algebras and show that bounded alpha-completely positive maps on discrete groups induce alpha-completely positive linear maps on group C*-algebras. We establish the (covariant) KSGNS type representation theorem for (covariant) alpha-completely positive maps of group systems into locally C*-algebras. These constructions provide a projective covariant J-representation of a group system into a locally C*-algebra.
- Appears in
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)