A new approach to the multipliers of Pedersen's ideal
Abstract: We obtain a simple description of the multiplier algebra of Pedersen's ideal of a -algebra as a pro--algebra (inverse limit of -algebras). This description enables us to derive a number of the results obtained by Lazar and Taylor in their study of directly from corresponding facts about pro--algebras, and to give simplified proofs of several other results.
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-  J. Mack, The spectrum of a PCS-algebra, preprint.
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- G. K. Pedersen, Measure theory for -algebras, Math. Scand. 19 (1966), 131-145. MR 0212582 (35:3453)
- -, -algebras and their automorphism groups, Academic Press, London, New York, San Francisco, 1979. MR 548006 (81e:46037)
- N. C. Phillips, Inverse limits of -algebras, J. Operator Theory 19 (1988), 159-195. MR 950831 (90c:46090)
- J. Mack, The spectrum of a PCS-algebra, preprint.
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Keywords: Pedersen's ideal, multiplier algebra, pro--algebra, inverse limit of -algebras
Article copyright: © Copyright 1988 American Mathematical Society