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

Fouzia Shaheen; Ahmed Al-Rawashdeh

doi:10.1007/978-3-031-06170-7_18

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

Fouzia Shaheen, Ahmed Al-Rawashdeh

Department of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

H. Dye defined certain projections P_i _, _j(a) of a C^∗ -matrix algebra M_n(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 P_i _, _j(a). Indeed, we deduce results related to the Cuntz algebras and its unitary groups.

Original language	English
Title of host publication	Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021
Editors	Luigi Accardi, Farrukh Mukhamedov, Ahmed Al Rawashdeh
Publisher	Springer
Pages	291-303
Number of pages	13
ISBN (Print)	9783031061691
DOIs	https://doi.org/10.1007/978-3-031-06170-7_18
Publication status	Published - 2022
Event	41st International Conference on Quantum Probability and Related Topics, QP41 2021 - Al Ain, United Arab Emirates Duration: Mar 28 2021 → Apr 1 2021

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	390
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	41st International Conference on Quantum Probability and Related Topics, QP41 2021
Country/Territory	United Arab Emirates
City	Al Ain
Period	3/28/21 → 4/1/21

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-031-06170-7_18

Cite this

Shaheen, F., & Al-Rawashdeh, A. (2022). Actions of ∗ -Morphisms on Certain Projections of C^∗ -Matrix Algebras. In L. Accardi, F. Mukhamedov, & A. Al Rawashdeh (Eds.), Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021 (pp. 291-303). (Springer Proceedings in Mathematics and Statistics; Vol. 390). Springer. https://doi.org/10.1007/978-3-031-06170-7_18

Actions of ∗ -Morphisms on Certain Projections of C^∗ -Matrix Algebras. / Shaheen, Fouzia; Al-Rawashdeh, Ahmed.
Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021. ed. / Luigi Accardi; Farrukh Mukhamedov; Ahmed Al Rawashdeh. Springer, 2022. p. 291-303 (Springer Proceedings in Mathematics and Statistics; Vol. 390).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Shaheen, F & Al-Rawashdeh, A 2022, Actions of ∗ -Morphisms on Certain Projections of C^∗ -Matrix Algebras. in L Accardi, F Mukhamedov & A Al Rawashdeh (eds), Infinite Dimensional Analysis, Quantum Probability and Applications - QP41 Conference, 2021. Springer Proceedings in Mathematics and Statistics, vol. 390, Springer, pp. 291-303, 41st International Conference on Quantum Probability and Related Topics, QP41 2021, Al Ain, United Arab Emirates, 3/28/21. https://doi.org/10.1007/978-3-031-06170-7_18

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