Summary: 



STABLE RANK OF CORNER RINGS



P. Ara and K. R. Goodearl


Abstract. B. Blackadar recently proved that any full corner pAp in a unita*
*l C*-algebra
A has K-theoretic stable rank greater than or equal to the stable rank of *
*A. (Here p is a
projection in A, and fullness means that ApA = A.) This result is extende*
*d to arbitrary
(unital) rings A in the present paper: If p is a full idempotent in A, the*
*n sr(pAp) sr(A).
The proofs rely partly on algebraic analogs of Blackadar's methods, and pa*

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

Collections: Mathematics