Autor:	Bhattacharya, Angshuman, Kulkarni, Chaitanya J.
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	In this article we define a special class of weak expectations for a representation of a separable unital C-algebra, called decomposable weak expectation. We give necessary and sufficient conditions for such kind of weak expectations to exist for a given representation. Then we define decomposable measures on the state space of a C-algebra and show that the GNS representation of a state admits a decomposable weak expectation if and only if there is a decomposable measure on the state space. Further we give an example of a decomposable weak expectation. Comment: Some revisions done, example added. 21p
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.10220 Zobrazit plný text záznamu View this record from Arxiv