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Covariant representations on Krein C*-modules associated to pairs of two maps

Title
Covariant representations on Krein C*-modules associated to pairs of two maps
Author
허재성
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
Issue Date
2013-02
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Citation
Journal of mathematical analysis and applications , 398, 1, 35 - 45
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. (C) 2012 Elsevier Inc. All rights reserved.
URI
https://www.sciencedirect.com/science/article/pii/S0022247X12006701?via%3Dihubhttp://hdl.handle.net/20.500.11754/44877
ISSN
0022-247X
DOI
10.1016/j.jmaa.2012.08.027
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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