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- W808172978 abstract "If the Wiener-Hopf <TEX>$C^*$</TEX>-algebra W(G,M) for a discrete group G with a semigroup M has the uniqueness property, then the structure of it is to some extent independent of the choice of isometries on a Hilbert space. In this paper we show that if the Wiener-Hopf <TEX>$C^*$</TEX>-algebra W(G,M) of a partially ordered group G with the positive cone M has the uniqueness property, then (G,M) is weakly unperforated. We also prove that the Wiener-Hopf <TEX>$C^*$</TEX>-algebra W(<TEX>$mathbb{Z}$</TEX>, M) of subsemigroup generating the integer group <TEX>$mathbb{Z}$</TEX> is isomorphic to the Toeplitz algebra, but W(<TEX>$mathbb{Z}$</TEX>, M) does not have the uniqueness property except the case M = <TEX>$mathbb{N}$</TEX>." @default.
- W808172978 created "2016-06-24" @default.
- W808172978 creator A5058734696 @default.
- W808172978 date "2010-11-30" @default.
- W808172978 modified "2023-09-25" @default.
- W808172978 title "WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS" @default.
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- W808172978 doi "https://doi.org/10.4134/bkms.2010.47.6.1275" @default.
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