TY - GEN
T1 - Actions of ∗ -Morphisms on Certain Projections of C∗ -Matrix Algebras
AU - Shaheen, Fouzia
AU - Al-Rawashdeh, Ahmed
N1 - Funding Information:
Acknowledgements The authors gratefully acknowledge and thank the Department of Research Affairs at UAE University, as this article is financially supported by the Grant: UPAR (2019), Fund No. 31S397(COS), and Post Doc Grant (2019), Fund no. 31s404.
Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-031-06170-7_18
DO - 10.1007/978-3-031-06170-7_18
M3 - Conference contribution
AN - SCOPUS:85140730120
SN - 9783031061691
T3 - Springer Proceedings in Mathematics and Statistics
SP - 291
EP - 303
BT - Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021
A2 - Accardi, Luigi
A2 - Mukhamedov, Farrukh
A2 - Al Rawashdeh, Ahmed
PB - Springer
T2 - 41st International Conference on Quantum Probability and Related Topics, QP41 2021
Y2 - 28 March 2021 through 1 April 2021
ER -