Local boundary representations of locally C⁎-algebras
نویسندگان
چکیده
We initiate a study of non-commutative Choquet boundary for spaces unbounded operators. define the notion local representations operator systems in locally C⁎-algebras and prove that provide an intrinsic invariant particular class systems. An appropriate analog purity completely positive maps on is used to characterize Frechet C⁎-algebras.
منابع مشابه
Local tracial C*-algebras
Let $Omega$ be a class of unital $C^*$-algebras. We introduce the notion of a local tracial $Omega$-algebra. Let $A$ be an $alpha$-simple unital local tracial $Omega$-algebra. Suppose that $alpha:Gto $Aut($A$) is an action of a finite group $G$ on $A$ which has a certain non-simple tracial Rokhlin property. Then the crossed product algebra $C^*(G,A,alpha)$ is a unital local traci...
متن کاملBoundary Representations for Operator Algebras
All operator algebras have (not necessarily irreducible) boundary representations. A unital operator algebra has enough such boundary representations to generate its C-envelope.
متن کاملlocal tracial c*-algebras
let $omega$ be a class of unital $c^*$-algebras. we introduce the notion of a local tracial $omega$-algebra. let $a$ be an $alpha$-simple unital local tracial $omega$-algebra. suppose that $alpha:gto $aut($a$) is an action of a finite group $g$ on $a$ which has a certain non-simple tracial rokhlin property. then the crossed product algebra $c^*(g,a,alpha)$ is a unital local traci...
متن کاملC* Algebras and Their Representations
The original version of this note was based on two talks given by Efren Ruiz at the Toronto Set Theory seminar in November 2005. This very tentative note and my Luminy talk form an attempt to record the ideas from these talks and draw more attention of set theorists to Naimark’s problem (Problem 5.1 below). An excellent invitation to C*-algebras for set-theorists can be found in [5]. All mistak...
متن کاملCrossed Products of Locally C-algebras
The crossed products of locally C-algebras are defined and a Takai duality theorem for inverse limit actions of a locally compact group on a locally C-algebra is proved. 2000 AMS Mathematics subject classification. Primary 46L05, 46L55.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126416