Ideal Structure of Some C*-algebras

Document Type : Original Paper

Authors

1 Department of Mathematics, Statistics and Computer Sciences, College of Sciences, University of Tehran, Tehran, Iran

2 Department of mathematics, statistics and computer science,, Faculty of Science,, University of Tehran.,

Abstract

In this note, considering the main properties of closed ideals of C*-algebras, we will determine the structure of closed ideals of the C*-algebra C(X, A), the space of all continuous functions from compact Hausdorff space X to C*_algebra A. Indeed, we will show that for every closed ideal of C(X, A), there is some closed subset F of topological space X × prim(A), such that {f ∈ C(X, A) : ∀ (x, P )∈F , f(x) ∈ P}=I.

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References

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Journal of Advanced Mathematical Modeling
Volume 13, Issue 4 - Serial Number 32
February 2024
Pages 556-562

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History

  • Receive Date: 18 June 2023
  • Revise Date: 13 October 2023
  • Accept Date: 10 April 2024

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