Homogeneous C*-algebras whose spectra are tori

Journal of the Australian Mathematical Society

Shaun Disney¹ 

[1] Iain Raeburn

关键词: primary 46 L 05;    46 L 40;    secondary 55 R 15;   

DOI  :  10.1017/S1446788700022576

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

By a theorem of Fell and Tomiyama-Takesaki, an N-homogeneous C*-algebra with spectrum X has the form Γ(E) for some bundle E over X with fibre MN(C), and its isomorphism class is determined by that of E and its pull-backs f*E along homeomorphisms f of X. We describe the homogeneous C*-algebras with spectrum T2 or T3 by classifying the MN-bundles over Tk using elementary homotopy theory. We then use our results to determine the isomorphism classes of a variety of transformation group C*-algebras, twisted group C*-algebras and more general crossed products.

【 授权许可】

Unknown