A note on Civin-Yood Theorem for locally \( C^*\)-algebras

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DOI:

https://doi.org/10.26637/mjm302/007

Abstract

In the present note we establish Civin-Yood Theorem for locally \( C^*\)-algebras, i.e. we show that if \(A\) be a locally \( C^*\)-algebra, and \(J\) be its closed Jordan ideal, then \(J\) is as well a closed two-sided \({ }^*\)-ideals in \(A\).

Keywords:

\(C^*\) -algebras , locally \(C^*\) -algebras, projective limit of projective family of \(C^*\) -algebras

Mathematics Subject Classification:

46K05, 46K10
  • Alexander A. Katz Department of Mathematics and Computer Science, St. John’s University, Queens, NY 11439, USA.
  • Pages: 182-186
  • Date Published: 01-04-2015
  • Vol. 3 No. 02 (2015): Malaya Journal of Matematik (MJM)

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Published

01-04-2015

How to Cite

Alexander A. Katz. “A Note on Civin-Yood Theorem for Locally \( C^*\)-Algebras”. Malaya Journal of Matematik, vol. 3, no. 02, Apr. 2015, pp. 182-6, doi:10.26637/mjm302/007.