2000/07/25 by A. Borowiec, W. Marcinek, Władysław Marcinek · 24 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Crossed product #Geometry #Mathematics #Noncommutative geometry #Product (mathematics) #Pure mathematics #Tensor (intrinsic definition) #Tensor contraction #Tensor product #Tensor product of Hilbert spaces #Tensor product of algebras #math-ph #math.MP #math.QA
paper · pdf · doi:10.1063/1.1289827
published in Journal of Mathematical Physics 41(10), 6959-6975 (American Institute of Physics) · 20 pages, latex2e (latexsym), no figures, accepted for publication in J. Math. Phys. 41 no10 (2000)
arxiv created 2000/07/25 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The concept of a crossed tensor product of algebras is studied from a few points of view. 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.