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Volume 35 - May 2003

Contents

Page 6 of 7

NOTES AND PAPERS

  • RIGHT CANCELLATION IN THE ${\cal L}{\cal U}{\cal C}$ -COMPACTIFICATION OF A LOCALLY COMPACT GROUP

  • M. FILALI, J. S. PYM
  • Published online by Cambridge University Press:
    24 March 2003, pp. 128-134

  • Write $G^{\ast} = G^{{\cal L}{\cal U}{\cal C}}\setminus G$ where $G^{{\cal L}{\cal U}{\cal C}}$ is the largest semigroup compactification of the locally compact group $G$ . Then the set of points of $G^{\ast}$ which are right cancellable in $G^{{\cal L}{\cal U}{\cal C}}$ is large; in fact it has an interior in $G^{\ast}$ which is dense in $G^{\ast}$ . Corollaries are given about the number of left ideals in $G^{{\cal L}{\cal U}{\cal C}}$ and the size of right ideals in the algebra ${{\cal L}{\cal U}{\cal C}}(G)^{\ast}$ .

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Obituary

  • OBITUARY: JOHN GRANT FAUVEL (1947–2001)

  • J. J. GRAY
  • Published online by Cambridge University Press:
    09 June 2003, pp. 565-569
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  • John Fauvel, who died on 12 May 2001 at the age of 53, was one of Britain's most distinguished historians of mathematics, and was emerging as a true and productive scholar in the subject when a long-running liver condition suddenly worsened and claimed his life.

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Page 6 of 7