Open AccessCyclically ordered group and C*-dynamical system
Author(s) -
Isnie Yusnitha,
Rizky Rosjanuardi,
Sumanang Muhtar Gozali
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1280/2/022043
Subject(s) - automorphism , covariant transformation , semigroup , mathematics , order (exchange) , hilbert space , group (periodic table) , action (physics) , combinatorics , automorphism group , pure mathematics , representation (politics) , physics , mathematical physics , quantum mechanics , finance , politics , political science , law , economics
Let G be a group equipped with a cyclic order such that G be a cyclically ordered group. Under the given order and a particular condition on G , the positive cone P ( G ) of G is a cyclically ordered semigroup. We induced the representation of a C * -algebra A in a Hilbert space such that we obtain a covariant representation of an action of P ( G ) by automorphism of A. C * -dynamical system ( A , α , P ( G )), where α is an action of P ( G ) by automorphism of A .