Displaying similar documents to “Limits of certain subhomogeneous C * -algebras”

Polar decomposition in Rickart C*-algebras.

Dmitry Goldstein (1995)

Publicacions Matemàtiques

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A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. Equivalently, matrix algebras over a Rickart C*-algebra are also Rickart C*-algebras.

Finite sums and products of commutators in inductive limit C * -algebras

Klaus Thomsen (1993)

Annales de l'institut Fourier

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Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple A F -algebras are extended to C * -algebras that are inductive limits of finite direct sums of homogeneous C * -algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.