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C*-Algebras of inverse semigroups

Published online by Cambridge University Press:  20 January 2009

J. Duncan
Affiliation:
Indiana University and University of Stirling
A. L. T. Paterson
Affiliation:
University of Aberdeen
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There are various algebras which may be associated with a discrete group G. In particular we may consider the complex group ring ℂG, the convolution Banach algebra l1(G), the enveloping C*-algebra C*(G) of l1(G), and the reduced C*-algebra determined by the completion of l1(G) under the left regular representation on l2(G). There is a substantial literature on the circle of ideas associated with the embeddings

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

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