Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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TRIGONOMETRICALLY CONVEX LIKE STRUCTURE FOR SYMMETRIES OF COMPLEX MATRIX ALGEBRAS

Authors

  • Takahiro Sudo

Keywords:

self-adjoint unitary, Hermitian unitary, Pauli spin matrix, symmetry.

DOI:

https://doi.org/10.17654/0972087124004

Abstract

We introduce and study trigonometrically convex like structure for the spaces of symmetries (or self-adjoint, or Hermitian unitaries) of complex matrix algebras.

Received: November 9, 2023
Accepted: December 16, 2023

References

Ola Bratteli and Derek W. Robinson, Operator Algebras and Quantum Statistical Mechanics 1, 2nd ed., TMP, Springer (1979 first), (1987 second).

P. R. Halmos, A Hilbert Space Problem Book, Springer, 1974.

Nigel Higson and Erik Guentner, Group -algebras and K-theory, Noncommutative Geometry, LNM 1831, Springer, 2004, pp. 137-251.

Masoud Khalkhali, Basic Noncommutative Geometry, 2nd ed., EMS, 2013, p. 239.

Gerard J. Murphy, -algebras and Operator theory, Academic Press, 1990.

T. Sudo, The K-theory and the E-theory for -algebras and the Baum-Connes conjecture for discrete groups - a commentative local study, Ryukyu Math. J. 29 (2016), 33-215.

T. Sudo, The algebraic and geometric classification of symmetries of the complex matrix algebras, Sci. Math. Japonicae SCMJ (in Editiöne Electronica) e-2023 Whole Number 36 2023-6.

Published

2024-01-10

Issue

Section

Articles

How to Cite

TRIGONOMETRICALLY CONVEX LIKE STRUCTURE FOR SYMMETRIES OF COMPLEX MATRIX ALGEBRAS. (2024). Far East Journal of Mathematical Sciences (FJMS), 141(1), 61-71. https://doi.org/10.17654/0972087124004