On crossed product of algebras

Abstract

The concept of a crossed tensor product of algebras is studied from a few points of views. Some related constructions are considered. Crossed enveloping algebras and their representations are discussed. Applications to the noncommutative geometry and particle systems with generalized statistics are indicated.Comment: 20 pages, latex2e (latexsym), no figures, accepted for publication in J. Math. Phys. 41 no10 (2000