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alpha-completely positive maps of group systems and Krein module representations

Title
alpha-completely positive maps of group systems and Krein module representations
Author
허재성
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; C-ASTERISK-ALGEBRAS; TENSOR
Issue Date
2014-01
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409(1), P.544-555
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. (C) 2013 Elsevier Inc. All rights reserved.
URI
https://www.sciencedirect.com/science/article/pii/S0022247X13006860http://hdl.handle.net/20.500.11754/47520
ISSN
0022-247X
DOI
10.1016/j.jmaa.2013.07.047
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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