Compact elements and smallest faithful representation of C*-algebras

Author: 

Hauser, R
Matzinger, H

Publication Date: 

1995

Journal: 

Proceedings of the American Mathematical Society

Last Updated: 

2020-06-26T03:29:32.393+01:00

Volume: 

123

DOI: 

10.2307/2161082

page: 

3379-3384

abstract: 

Let A be a C*-algebra which either allows a faithful separable rep- resentation or is postliminal. We prove that A then admits a smallest faithful representation if and only if the ideal of compact elements is an essential ideal in A.

Symplectic id: 

203073

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article