Actions of ∗ -Morphisms on Certain Projections of C -Matrix Algebras

Fouzia Shaheen, Ahmed Al-Rawashdeh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

H. Dye defined certain projections Pi , j(a) of a C -matrix algebra Mn(A), and he used it to prove that any isomorphism between unitary groups of von Neumann factors is implemented by a ∗ -isomorphism. In this paper we study actions of some ∗ -isomorphism on the projections Pi , j(a). Indeed, we deduce results related to the Cuntz algebras and its unitary groups.

Original languageEnglish
Title of host publicationInfinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021
EditorsLuigi Accardi, Farrukh Mukhamedov, Ahmed Al Rawashdeh
PublisherSpringer
Pages291-303
Number of pages13
ISBN (Print)9783031061691
DOIs
Publication statusPublished - 2022
Event41st International Conference on Quantum Probability and Related Topics, QP41 2021 - Al Ain, United Arab Emirates
Duration: Mar 28 2021Apr 1 2021

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume390
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference41st International Conference on Quantum Probability and Related Topics, QP41 2021
Country/TerritoryUnited Arab Emirates
CityAl Ain
Period3/28/214/1/21

ASJC Scopus subject areas

  • Mathematics(all)

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