Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 11
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    BERNIK, JANEZ and POPOV, ALEXEY I. 2016. Obstructions for semigroups of partial isometries to be self-adjoint. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 161, Issue. 01, p. 107.

    Arslan, Berna and İnceboz, Hülya 2015. A generalization of the $$n$$ n -weak module amenability of banach algebras. Semigroup Forum, Vol. 91, Issue. 3, p. 625.

    EXEL, RUY and STARLING, CHARLES 2015. Amenable actions of inverse semigroups. Ergodic Theory and Dynamical Systems, p. 1.

    Norling, Magnus Dahler 2014. Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups. Proceedings of the Edinburgh Mathematical Society, Vol. 57, Issue. 02, p. 533.

    ARA, PERE EXEL, RUY and KATSURA, TAKESHI 2013. Dynamical systems of type and their -algebras. Ergodic Theory and Dynamical Systems, Vol. 33, Issue. 05, p. 1291.

    Popov, Alexey I. and Radjavi, Heydar 2013. Semigroups of partial isometries. Semigroup Forum, Vol. 87, Issue. 3, p. 663.

    Exel, Ruy Gonçalves, Daniel and Starling, Charles 2012. The tiling C*-algebra viewed as a tight inverse semigroup algebra. Semigroup Forum, Vol. 84, Issue. 2, p. 229.

    Amini, Massoud and Medghalchi, Alireza 2006. Restricted algebras on inverse semigroups I, representation theory. Mathematische Nachrichten, Vol. 279, Issue. 16, p. 1739.

    Sieben, Nándor 1997. C*-crossed products by partial actions and actions of inverse semigroups. Journal of the Australian Mathematical Society, Vol. 63, Issue. 01, p. 32.

    Hancock, Rachel and Raeburn, Iain 1990. The C*-algebras of some inverse semigroups. Bulletin of the Australian Mathematical Society, Vol. 42, Issue. 02, p. 335.

    Duncan, John and Paterson, A.L.T. 1989. C*-algebras of Clifford semigroups. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 111, Issue. 1-2, p. 129.

  • Proceedings of the Edinburgh Mathematical Society, Volume 28, Issue 1
  • February 1985, pp. 41-58

C*-Algebras of inverse semigroups

  • J. Duncan (a1) and A. L. T. Paterson (a2)
  • DOI:
  • Published online: 01 January 2009

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

Linked references
Hide All

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.

6.W. D. Munn , Regular ω-semigroups, Glasgow Math. J. 9 (1968), 4666.

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.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *