The measure algebra of the Heisenberg group

被引：17

作者：

Coburn, LA ^{[1
]}

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14214 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 161卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jfan.1998.3354

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Irreducible representations of the convolution algebra M(H-n) of bounded regular complex Borel measures on the Heisenberg group H-n are analyzed. For the Segal-Bargmann representation p, the C*-algebra generated by p[M(H-n)]is just the C*-algebra generated by Berezin-Toeplitz operators with positive-definite "symbols." This algebra is a deformation of the sup norm algebra generated by positive-definite functions on complex n-space C-n. (C) 1999 Academic Press.

引用

页码：509 / 525

页数：17

共 11 条

[1] On Voiculescu's double commutant theorem [J].