Let （G, G＋） be a quasi-partial ordered group such that G＋^0=G＋∩G＋^-1 is a non-trivial subgroup of G. Let [G] be the collection of left cosets and [G＋] be its positive. Denote by T^G＋ and T^[G＋] the associate...Let （G, G＋） be a quasi-partial ordered group such that G＋^0=G＋∩G＋^-1 is a non-trivial subgroup of G. Let [G] be the collection of left cosets and [G＋] be its positive. Denote by T^G＋ and T^[G＋] the associated Toeplitz algebras. We prove that T^G＋ is unitarily isomorphic to a C^＊-subalgebra of T^｜G＋｜⊙（G＋^＋） if there exists a deformation retraction from G onto G＋^0. Suppose further that G＋^0 is normal, then ,T^G＋ and ,T^｜G＋｜⊙GT^＊（G＋^0） are unitarily equivalent.展开更多
基金the National Natural Foundation of China (10371051)Shanghai Natural Science Foundation (05ZR14094) and Shanghai Municipal Education Commission (05DZ04)
文摘Let （G, G＋） be a quasi-partial ordered group such that G＋^0=G＋∩G＋^-1 is a non-trivial subgroup of G. Let [G] be the collection of left cosets and [G＋] be its positive. Denote by T^G＋ and T^[G＋] the associated Toeplitz algebras. We prove that T^G＋ is unitarily isomorphic to a C^＊-subalgebra of T^｜G＋｜⊙（G＋^＋） if there exists a deformation retraction from G onto G＋^0. Suppose further that G＋^0 is normal, then ,T^G＋ and ,T^｜G＋｜⊙GT^＊（G＋^0） are unitarily equivalent.
