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William Arveson is a mathematician specializing in
operator algebras. Currently professor of Mathematics at the
University of California at
Berkeley. Arveson obtained his Ph. D. at UCLA in 1964.
His research work in the area of operator algebras has been wide-ranging and often path-breaking. Of particular significance
is Arveson's extension theorem for completely positive maps
with values in the algebra of L(H) of all bounded operators on a Hilbert space. This theorem led naturally to the question of injectivity of von-Neumann algebras in general, which culminated in work by Alain Connes relating injectivity to hyperfiniteness.
External links
- Directory of operator theorists [1]
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