Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2006; 43(2): 333-341

Printed June 1, 2006

Copyright © The Korean Mathematical Society.

Generalized Toeplitz algebra of a certain non-amenable semigroup

Sun Young Jang

University of Ulsan

Abstract

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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

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