Representations of -algebras and dynamical systems

DOI

10.2991/jnmp.1995.2.2.4How to use a DOI?

Abstract

Consider a -algebra A generated by self-adjoint elements a1, . . . , an (aj = a j , j = 1, . . . , n) and the relations Pk(a1, . . . , an) = 0 (k = 1, . . . , m). (1) Here Pk(·) are polynomials in the non-commuting variables a1, . . . , an over C such that P k (·) = Pk(·). In other words, A is a quotient of the free -algebra C a1, . . . , an generated by the self-adjoint elements a1, . . . , an with respect to the two-sided ideal generated by the relations (1).

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Vasyl' L. Ostrovs'kyĭ
AU  - Yurii S. Samoilenko
PY  - 1995
DA  - 1995/05/01
TI  - Representations of -algebras and dynamical systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 133
EP  - 150
VL  - 2
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.2.4
DO  - 10.2991/jnmp.1995.2.2.4
ID  - Ostrovs'kyĭ1995
ER  -