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Bulletin of the London Mathematical Society Advance Access originally published online on July 18, 2008
Bulletin of the London Mathematical Society 2008 40(5):827-837; doi:10.1112/blms/bdn062
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© 2008 London Mathematical Society

The multiplier algebra of a nuclear quasidiagonal C*-algebra

P. W. Ng

Department of Mathematics
University of Louisiana
217 Maxim D. Doucet Hall
PO Box 41010
Lafayette, LA 70504-1010
USA

Received 21 June 2007. Revision received 15 April 2008.

If A is a unital separable simple nuclear quasidiagonal C*-algebra, then M(A {otimes} K) has the AF-property in the strict topology; that is, there is a unital AF-subalgebra C {subseteq} M(A {otimes} K) such that C is strictly dense in M(A {otimes} K). We also give a multiplier algebra characterization of nuclearity and quasidiagonality for a unital separable simple C*-algebra.

2000 Mathematics Subject Classification 46L35.


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