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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The index of normal Fredholm elements of $ C\sp *$-algebras


Authors: J. A. Mingo and J. S. Spielberg
Journal: Proc. Amer. Math. Soc. 113 (1991), 187-192
MSC: Primary 46L80; Secondary 19K56, 46L05
MathSciNet review: 1045144
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Abstract: Examples are given of normal elements of $ {C^*}$-algebras that are invertible modulo an ideal and have nonzero index, in contrast to the case of Fredholm operators on Hilbert space. It is shown that this phenomenon occurs only along the lines of these examples.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1045144-3
PII: S 0002-9939(1991)1045144-3
Article copyright: © Copyright 1991 American Mathematical Society