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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Isometries of unbounded Fredholm modules over reduced group $ C\sp \ast$-algebras


Author: Efton Park
Journal: Proc. Amer. Math. Soc. 123 (1995), 1839-1843
MSC: Primary 46L87; Secondary 46L85
MathSciNet review: 1249887
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Abstract: In an earlier paper, the author defined the isometry group of an unbounded Fredholm module over a unital $ {C^ \ast }$-algebra. In this paper, the author studies a class of unbounded Fredholm modules over a reduced group $ {C^ \ast }$-algebra, and he shows that the isometry groups of these unbounded Fredholm modules are always compact Lie groups. The author also proves a result about the fixed point algebra of such an isometry.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1249887-1
Keywords: Noncommutative topology, noncommutative geometry, automorphisms of $ {C^\ast}$-algebras
Article copyright: © Copyright 1995 American Mathematical Society