Vol. 32, No. 1, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Symmetry and nonsymmetry in the group algebras of discrete groups

Joe W. Jenkins

Vol. 32 (1970), No. 1, 131–145
Abstract

A Banach *-algebra 𝒰, with identity e, is symmetric if xx + e is regular for each x in 𝒰. In this paper we generalize certain conditions on a discrete group G that are known to be sufficient to ensure symmetry of l1(G). Also we define semi-symmetry and derive an inequality that must be satisfied if l1(G) is not semi-symmetric. Finally we show that if a group contains a free subsemigroup on two or more generators then l1(G) is not symmetric.

Mathematical Subject Classification
Primary: 46.80
Milestones
Received: 3 February 1969
Published: 1 January 1970
Authors
Joe W. Jenkins