Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The regular group $C^*$-algebra for real-rank one groups

Authors: Robert Boyer and Robert Martin
Journal: Proc. Amer. Math. Soc. 59 (1976), 371-376
MSC: Primary 22D25
MathSciNet review: 0476913
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be a connected semisimple real-rank one Lie group with finite center and let $C_\rho ^{\ast }(G)$ denote the regular group ${C^{\ast }}$-algebra of $G$. In this paper a complete description of the structure of $C_\rho ^{\ast }(G)$ is obtained.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22D25

Retrieve articles in all journals with MSC: 22D25

Additional Information

Keywords: Semisimple Lie groups, Cartan subgroups, Weyl group, irreducible unitary representations, left regular representation, principal series, discrete series, reduced dual, hull-kernel topology, <!– MATH ${C^{\ast }}$ –> <IMG WIDTH="31" HEIGHT="21" ALIGN="BOTTOM" BORDER="0" SRC="images/img3.gif" ALT="${C^{\ast }}$">-algebras, restricted product
Article copyright: © Copyright 1976 American Mathematical Society