Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Mohammad Rouzbehani"'
Publikováno v:
Forum Mathematicum.
In this article, we introduce and study the notion of Krull dimension for C*-algebras. We show that every C*-algebra with Krull dimension contains an essential ideal that is a finite direct sum of critical ideals. We show that a C*-algebra with Krull
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af460d481c28ae7489723266a8d53e91
https://doi.org/10.1515/forum-2021-0304
https://doi.org/10.1515/forum-2021-0304
Publikováno v:
Linear and Multilinear Algebra. 70:419-430
In this article, we present a trichotomy (a division into three classes) on Noetherian and Artinian C*-algebras and obtain some structural results about Noetherian (and/or Artinian) C*-algebras. We...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30a1ea5c24424c6b390b14e723959915
https://doi.org/10.1080/03081087.2020.1733458
https://doi.org/10.1080/03081087.2020.1733458
Publikováno v:
Forum Mathematicum. 32:491-500
In this article, we study chain conditions for graph C*-algebras. We show that there are infinitely many mutually non isomorphic Noetherian (and Artinian) purely infinite graph C*-algebras with infinitely many ideals. We prove that if E is a graph, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d72070400ec1ccc0e2c8659c884412a
https://doi.org/10.1515/forum-2019-0170
https://doi.org/10.1515/forum-2019-0170
Publikováno v:
Acta Mathematica Scientia. 38:1163-1173
In this paper we define and study chain conditions for Hilbert C*-modules through their C*-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b32d08d47a58df2af6e956c68bede25
https://doi.org/10.1016/s0252-9602(18)30806-3
https://doi.org/10.1016/s0252-9602(18)30806-3