On a Class of Projections on *-Rings

ABSTRACT

In this article we describe the structure of projections acting on semiprime *-rings and satisfying a certain functional identity. The main result is applied to bicircular projections on C *-algebras.

Keywords:

• *-ring
• ideal
• Bicircular projection
• C*-algebra
• Derivation
• Double centralizer
• Essential ideal
• Multiplier
• Projection

1991 Mathematics Subject Classification:

• Primary 16W10
• 39B52
• 46L05
• Secondary 16W25
• 16D25
• 46L10
• 46B04
• 46K15

ACKNOWLEDGMENT

This article was written during the second author's stay at the University of Maribor, supported by the Alps-Adria Research scholarship. The authors would like to thank Matej Bresar for his help and encouragement, Borut Zalar, who acquainted us with the recent results on bicircular projections, and the referee, whose comments helped us improve the article.

Notes

^#Communicated by W. Martindale.