허재성
2018-03-20T07:33:53Z
2018-03-20T07:33:53Z
2013-03
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17(2), p.529-544
1027-5487
https://projecteuclid.org/euclid.twjm/1499705952
http://hdl.handle.net/20.500.11754/49753
As a generalization of covariant completely positive maps, we consider (projective) covariant a-completely positive maps between locally C*-algebras. We first study (projective) covariant J-representations of locally C*-algebras on Krein modules over locally C*-algebras. Secondly, we construct a covariant KS-GNS type representation associated with a covariant alpha-completely positive map on a locally C*-algebra, and then study extensions to a locally C*-crossed product of alpha-completely positive maps on a locally C*-algebra. The results provide (projective) covariant representations of a locally C*-crossed product on a Krein module over a locally C*-algebra.
This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2012-0002569).This research was supported by Basic Science Research Program through the NRF funded by the MEST (No. R01-2010-002-2514-0).
en
MATHEMATICAL SOC REP CHINA, NATL CHIAO TUNG UNIV, DEPT APPLIED MATHEMATICS,, HSINCHU, 00000, TAIWAN
Locally C*-algebra
Hilbert module
Krein module
alpha-Completely positive map
J-Representation
Projective representation
Locally C*-dynamical system
Locally C*-crossed product
PROJECTIVE COVARIANT REPRESENTATIONS OF LOCALLY C*-DYNAMICAL SYSTEMS
Article
2
17
10.11650/tjm.17.2013.2156
529-544
TAIWANESE JOURNAL OF MATHEMATICS
Heo, Jaeseong
Ji, UnCig
Kim, YoungYi
2009212789
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
hjs