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WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS
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 Title & Authors
WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS
Jang, Sun-Young;
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 Abstract
If the Wiener-Hopf -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 -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 -algebra W(, M) of subsemigroup generating the integer group is isomorphic to the Toeplitz algebra, but W(, M) does not have the uniqueness property except the case M
 Keywords
left regular isometric representation;Wiener-Hopf -algebra unperforated semigroup;Toeplitz algebra;
 Language
English
 Cited by
 References
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