Continuous trace C*-algebras with given Dixmer-Douady class

Journal of the Australian Mathematical Society

Iain Raeburn¹ 

[1] Joseph L. Taylor

关键词: primary 46 L 05;    46 L 40;    secondary 13 A 20;    55 N 05;   

DOI  :  10.1017/S1446788700023661

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We give an explicit construction of a continuous trace C*algebra with prescribed Dixmier-Douady class, and with only finite-dimensional irreducible representations. These algebras often have non-trivial automorphisms, and we show how a recent description of the outer automorphism group of a stable continuous trace C*algebra follows easily from our main result. Since our motivation came from work on a new notion of central separable algebras, we explore the connections between this purely algebraic subject and C*a1gebras.

【 授权许可】

Unknown