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Lobachevskii Journal of Mathematics

, Volume 39, Issue 9, pp 1300–1304 | Cite as

Functional Description of C*-Algebras Associated with Group Graded Systems

  • V. ArzumanianEmail author
  • S. Grigoryan
Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
  • 3 Downloads

Abstract

The well known pure algebraic concept of group grading arises naturally in considering the crossed products, especially in the context of irreversible dynamical systems. In the paper some general aspects concerning group graded systems and related algebras are considered. In particular, a functional description of a C*-algebra associated with an Abelian group graded system is presented.

Keywords and phrases

C*-algebra representation conditional expectation bimodule Hilbert module graded system graded C*-algebra inverse semigroup 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Institute of MathematicsNational Academy of Science of ArmeniaYerevanRepublic of Armenia
  2. 2.Kazan State Power Engineering UniversityKazanRussia

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