A comment on certain p–shift algebras

Journal of the Australian Mathematical Society

P. J. Stacey¹ 

关键词: 46 L 05;    46 L 40;   

DOI  :  10.1017/S1446788700030238

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let G = ⊕∞i=0Zp, where p is a prime, let s be the shift mapping the i th summand of G to the (i+1) st and let ω be a 2 cocycle on G with values in S1, for which ω (s(g), s(h)) = ω (g, h). If Ω (ej, ek) = Ω (ek, ej) whenever │j - k│ is sufficiently large, where ei is the generator of the i th summand of G, then it is shown that the twisted group C* -algebra C*(G, ω) is isomorphic to the UHF algebra UHF (p∞). An immediate consequence, by results of Bures and Yin, is the existence of infinitely many non-conjugate shifts on UHF (p∞).

【 授权许可】

Unknown