On C*-algebras of exponential solvable Lie groups and their real ranks

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Beltita, Ingrid¹  Beltita, Daniel¹ 

[1] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania

关键词: C*-algebra;    Exponential Lie group;    Real rank;    Stable rank;   

DOI  :  10.1016/j.jmaa.2016.01.001

来源: Elsevier

【 摘 要 】

For any solvable Lie group whose exponential map expG: g -> G is bijective, we prove that the real rank of G* (G) is equal to dim(g/[g,g]). We also indicate a proof of a similar formula for the stable rank of C* (G), as well as some estimates on the ideal generated by the projections in C*(G). (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free