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C*-Algebras of inverse semigroups

  • J. Duncan (a1) and A. L. T. Paterson (a2)
Abstract

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

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

1.B. A. Barnes , Representations of the l1-algebra of an inverse semigroup, Trans. Amer. Math. Soc. 218 (1976), 361–196.

9.S. Sakai , C*-algebras and W*-algebras (Springer, Berlin, 1971).

10.J. R. Wordingham , The left regular *-representation of an inverse semigroup, Proc. Amer. Math. Soc. 86 (1982), 5558.

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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