The Dixmier Property and Tracial States for C^*-Algebras

Osman, Nuha Abdel Halim Mohamed; Supervisor, -Belgiss Abdel Aziz Abdel Rahman

dc.contributor.author	Osman, Nuha Abdel Halim Mohamed
dc.contributor.author	Supervisor, -Belgiss Abdel Aziz Abdel Rahman
dc.date.accessioned	2021-05-26T09:11:36Z
dc.date.available	2021-05-26T09:11:36Z
dc.date.issued	2020-03-12
dc.identifier.citation	Osman, Nuha Abdel Halim Mohamed . The Dixmier Property and Tracial States for C^*-Algebras \ Nuha Abdel Halim Mohamed Osman ; Belgiss Abdel Aziz Abdel Rahman .- Khartoum:Sudan University of Science & Technology,College of Science,2020 .- 197 p.:ill.;28cm.-M.Sc	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/26178
dc.description	Thesis	en_US
dc.description.abstract	Let A is a C^-algebra for which A≅A ⊗ Z, where Z is the Jiang–Su algebra: a unital, simple, stably finite, separable, nuclear, infinite-dimensional C^-algebra . We show that every directed graph defines a Hilbert space and a family of weighted shifts that act on the space.We obtain necessary and sufficient conditions for a simple unital C^*-algebra with unique tracial state to have this uniform property.	en_US
dc.description.sponsorship	Sudan University of Science & Technology	en_US
dc.language.iso	en	en_US
dc.publisher	Sudan University of Science and Technology	en_US
dc.subject	Science	en_US
dc.subject	Mathematics	en_US
dc.subject	Dixmier Property	en_US
dc.subject	Tracial States for C^*-Algebras	en_US
dc.title	The Dixmier Property and Tracial States for C^*-Algebras	en_US
dc.title.alternative	خاصية ديكسمير والحالات الأثرية لجبريات-C^*	en_US
dc.type	Thesis	en_US