Notes on K-theory of multiplier algebras and corona algebras
Date
2010-06-01T19:48:45Z
Authors
Lin, Hauxin
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Abstract
We give an answer to the question when the unitary group of the corona algebra of a simple AF-algebra is connected. We also compute the K-groups of the multiplier algebras and corona algebras of certain simple C*-algebras. For example, if A_\theta is an irrational rotation C*-algebra and A is a non-stable hereditary C*-subalgebra of A_\theta \varotimes K, then we find that K_1(M(A)) = K_1(M(A)/A) = {0} and K_0(M(A)) = R.