Almost irredundant sets in C*-algebras and the state space

Clayton Suguio Hida

Article Details

Almost irredundant sets in C*-algebras and the state space

Authors:

Clayton Suguio Hida

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.88 Issue 239, pp.1-6

Document Type:

Article

Publication Date:

5/2024

Document Language:

English

Document ID (Org No.):

2001614037

pISSN:

2519-9277

Keywords:

Abstract:

 In this article, we consider some topological invariants on the state space S(A) of a C*-algebra and the notion of almost
irredundant sets: A subset X of a C*-algebra A is called almost irredundant if and only if for every a ∈ X, the element a does
not belong to the norm-closure of
f
Σn
i=1
λi
Πni
j=1
ai,j : where ai,j
∈ X n fag and
Σn
i=1
jλij 6 1g.
We prove that d(A) 6 2irra(A) holds for every C*-algebra, where irra(A) is the supremum of cardinalities of almost irredundant
sets in A and we prove some other cardinal inequalities on the state space of a C*-algebra.

Article Details

Almost irredundant sets in C*-algebras and the state space

Authors:

Clayton Suguio Hida

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.88 Issue 239, pp.1-6

Document Type:

Article

Publication Date:

5/2024

Document Language:

English

Document ID (Org No.):

2001614037

pISSN:

2519-9277

Convex sets

cardinal functions

C*-algebras

Stone-Weierstrass problem

almost irredundant sets

topological weight

extreme points

Issues

Article Details

Authors: Clayton Suguio Hida

Publisher: Refaad for Studies and Research, Jordan

Journal: General Letters in Mathematics Vol.88 Issue 239, pp.1-6

Document Type: Article

Publication Date: 5/2024

Document Language: English

Document ID (Org No.): 2001614037

pISSN: 2519-9277

Issues

Authors:

Clayton Suguio Hida

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.88 Issue 239, pp.1-6

Document Type:

Article

Publication Date:

5/2024

Document Language:

English

Document ID (Org No.):

2001614037

pISSN:

2519-9277