허재성
2018-03-11T02:29:56Z
2018-03-11T02:29:56Z
2013-02
Journal of mathematical analysis and applications , 398, 1, 35 - 45
0022-247X
https://www.sciencedirect.com/science/article/pii/S0022247X12006701?via%3Dihub
http://hdl.handle.net/20.500.11754/44877
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. (C) 2012 Elsevier Inc. All rights reserved.
The authors would like to thank a referee for the helpful comment for the notion of fundamental symmetry and for suggesting useful references for the study of indefinite inner product spaces and representations of Hermitian kernels. The research of the first author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0008447). The research of second author was supported by the Basic Science Research Program through the NRF funded by the MEST (No. R01-2010- 002-2514-0).
en
ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
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
Covariant representations on Krein C*-modules associated to pairs of two maps
Article
1
398
10.1016/j.jmaa.2012.08.027
35-45
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Heo, J.
Ji, U.C.
Kim, Y.Y.
2009205388
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
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