Browse > Article
http://dx.doi.org/10.4134/BKMS.2006.43.2.333

GENERALIZED TOEPLITZ ALGEBRA OF A CERTAIN NON-AMENABLE SEMIGROUP  

Jang, Sun-Young (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 333-341 More about this Journal
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,...,N,...}.
Keywords
isometric homomorphism; left regular isometric representation; reduced semigroup $C^*$-algebra; semigroup $C^*$-algebra; Toeplitz algebra;
Citations & Related Records

Times Cited By SCOPUS : 3
연도 인용수 순위
1 L. A. Coburn, The C$^{\ast}$-algebra generated by an isometry, I, Bull. Amer. Math. Soc. 73 (1967), 722-726   DOI
2 L. A. Coburn, The C$^{\ast}$-algebra generated by an isometry, II, Trans. Amer. Math. Soc. 137 (1969), 211-217   DOI   ScienceOn
3 K. R. Davidson and D. R. Pitts, The algebraic structure of non-commutative analytic Toeplitz algebras, Math. Ann. 311 (1998), no. 2, 275-303   DOI
4 R. G. Douglas, On the C$^{\ast}$-algebra of a one-parameter semigroup of isometries, Acta Math. 128 (1972), no. 3-4, 143-151   DOI
5 S. Y. Jang, Reduced crossed products by semigroups of automorphisms, J. Ko- rean Math. Soc. 36 (1999), no. 1, 97-107
6 M. Laca and I. Raeburn, Semigroup crossed products and the Toeplitz algebras of nonabelian groups, J. Funct. Anal. 139 (1996), no. 2, 415-440   DOI   ScienceOn
7 G. J. Murphy, Crossed products of C$^{\ast}$-algebras by semigroups of automorphisms, Proc. London Math. Soc. (3) 68 (1994), no. 2, 423-448
8 A. Nica, C$^{\ast}$-algebras generated by isometries and Wiener-Hopf operators, J. Operator Theory 27 (1992), no. 1, 17-52
9 P. S. Muhly, A structure theory for isometric representations of a class of semi- groups, J. Reine Angew. Math. 255 (1972), 135-154
10 G. K. Pedersen, C$^{\ast}$-algebras and their automorphism groups, London Mathe- matical Society Monograph 14, Academic Press, London, 1979
11 J. Cuntz, Simple C$^{\ast}$-algebras generated by isometries, Comm. Math. Phys. 57 (1977), no. 2, 173-185   DOI