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 Generalized Toeplitz algebra of a certain non-amenable semigroup Bull. Korean Math. Soc. 2006 Vol. 43, No. 2, 333-341 Published online June 1, 2006 Sun Young Jang University of Ulsan Abstract : We analyze a detailed picture of the algebraic structure of $C^*$-algebras generated by isometric representations of the non-amenable semigroup $P = \{ 0, 2, 3, \dots, n,\dots \}$. Keywords : isometric homomorphism, left regular isometric representation, reduced semigroup $C^*$-algebra, semigroup $C^*$-algebra, Toeplitz algebra MSC numbers : 46L05, 47C15, 47B35 Downloads: Full-text PDF