Publication series :Memoirs of the American Mathematical Society
Author: Kenneth R. Davidson;Adam Fuller;Evgenios T. A. Kakariadis
Publisher: American Mathematical Society
Publication year: 2017
E-ISBN: 9781470423094
P-ISBN(Paperback): 9781470436971
Subject: O177 functional analysis
Keyword: 暂无分类
Language: ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Semicrossed Products of Operator Algebras by Semigroups
Description
The authors examine the semicrossed products of a semigroup action by $*$-endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
Chapter