On inductive limits of certain -algebras of the form

Author:
Cornel Pasnicu

Journal:
Trans. Amer. Math. Soc. **310** (1988), 703-714

MSC:
Primary 46L05; Secondary 46M10

MathSciNet review:
929238

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Abstract: A certain class of -homomorphisms , called compatible with a map defined on with values in the set of all closed nonempty subsets of , is studied. A local description of -homomorphisms is given considering separately the cases and ; this is done in terms of continuous "quasifields" of -algebras. Conditions under which an inductive limit , where each is of the above type, is -isomorphic with the tensor product of a commutative -algebra with an AF algebra are given. For such inductive limits the isomorphism problem is considered.

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DOI:
https://doi.org/10.1090/S0002-9947-1988-0929238-0

Article copyright:
© Copyright 1988
American Mathematical Society