2015/05/26 by Qiaoling, Xin, Lining Jiang, Lining, Jiang +1
Mathematics · Physics and Astronomy · #16S35 #46L05 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1505.06944
openalex publication_date 2015/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G be a finite group. Starting from the field algebra F of G-spin models, one can construct the crossed product C^*-algebra F\rtimes D(G) such that it coincides with the C^*-basic construction for the field algebra F and the D(G)-invariant subalgebra of F, where D(G) is the quantum double of G. Under the natural \widehatD(G)-module action on F\rtimes D(G),the iterated crossed product C^*-algebra can be obtained, which is C^*-isomorphic to the C^*-basic construction for F\rtimes D(G) and the field algebra F. Furthermore, one can show that the iterated crossed product C^*-algebra is a new field algebra and give the concrete structure with the order and disorder operators.