Title : ( Quasi-representations of Finsler modules over C*-algebras )
Authors: Maryam Amyari , Mahnaz Chakoshi , Mohammad Sal Moslehian ,
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Abstract
We show that every Finsler module over a C^* -algebra has a quasi-representation into the Banach space mathbb{B}( mathscr{H}, mathscr{K}) of all bounded linear operators between some Hilbert spaces mathscr{H} and mathscr{K} . We define the notion of completely positive varphi$-morphism and establish a Stinespring type theorem in the framework of Finsler modules over C^* -algebras. We also investigate the nondegeneracy and the irreducibility of quasi-representations.
Keywords
, Finsler module, quasi-representation, varphi -morphism, nondegenerate quasi-representation, irreducible quasi-representation
@article{paperid:1037798,
author = {Maryam Amyari and Mahnaz Chakoshi and Sal Moslehian, Mohammad},
title = {Quasi-representations of Finsler modules over C*-algebras},
journal = {Journal of Operator Theory},
year = {2013},
volume = {70},
number = {1},
month = {January},
issn = {0379-4024},
pages = {181--190},
numpages = {9},
keywords = {Finsler module; quasi-representation; varphi -morphism;
nondegenerate quasi-representation; irreducible
quasi-representation},
}
%0 Journal Article
%T Quasi-representations of Finsler modules over C*-algebras
%A Maryam Amyari
%A Mahnaz Chakoshi
%A Sal Moslehian, Mohammad
%J Journal of Operator Theory
%@ 0379-4024
%D 2013
