The multiplier algebra of a nuclear quasidiagonal C*‐algebra | Zendy

Ng P. W. | Zendy

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The multiplier algebra of a nuclear quasidiagonal C*‐algebra

Author(s) -

Ng P. W.

Publication year - 2008

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdn062

Subject(s) - mathematics , unital , separable space , characterization (materials science) , simple (philosophy) , multiplier (economics) , pure mathematics , algebra over a field , dual (grammatical number) , property (philosophy) , mathematical analysis , art , philosophy , materials science , literature , epistemology , economics , macroeconomics , nanotechnology

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

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