GENERALIZED TOEPLITZ ALGEBRA OF A CERTAIN NON-AMENABLE SEMIGROUP

Title & Authors
GENERALIZED TOEPLITZ ALGEBRA OF A CERTAIN NON-AMENABLE SEMIGROUP
Jang, Sun-Young;

Abstract
We analyze a detailed picture of the algebraic structure of $\small{C^*}$-algebras generated by isometric representations of the non-amenable semigroup P
Keywords
isometric homomorphism;left regular isometric representation;reduced semigroup \$C^*\$-algebra;semigroup \$C^*\$-algebra;Toeplitz algebra;
Language
English
Cited by
1.
SPECTRUMS OF WEIGHTED LEFT REGULAR ISOMETRIES OF A STRONGLY PERFORATED SEMIGROUP,;;;;;

Korean Journal of Mathematics, 2009. vol.17. 1, pp.25-36
2.
WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS,;

대한수학회보, 2010. vol.47. 6, pp.1275-1283
1.
C*-algebras generated by cancellative semigroups, Siberian Mathematical Journal, 2010, 51, 1, 12
2.
C*-algebras generated by semigroups, Russian Mathematics, 2009, 53, 10, 61
3.
On the extension of the Toeplitz algebra, Lobachevskii Journal of Mathematics, 2013, 34, 4, 377
4.
WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS, Bulletin of the Korean Mathematical Society, 2010, 47, 6, 1275
References
1.
L. A. Coburn, The C\$^{\ast}\$-algebra generated by an isometry, I, Bull. Amer. Math. Soc. 73 (1967), 722-726

2.
L. A. Coburn, The C\$^{\ast}\$-algebra generated by an isometry, II, Trans. Amer. Math. Soc. 137 (1969), 211-217

3.
J. Cuntz, Simple C\$^{\ast}\$-algebras generated by isometries, Comm. Math. Phys. 57 (1977), no. 2, 173-185

4.
K. R. Davidson and D. R. Pitts, The algebraic structure of non-commutative analytic Toeplitz algebras, Math. Ann. 311 (1998), no. 2, 275-303

5.
R. G. Douglas, On the C\$^{\ast}\$-algebra of a one-parameter semigroup of isometries, Acta Math. 128 (1972), no. 3-4, 143-151

6.
S. Y. Jang, Reduced crossed products by semigroups of automorphisms, J. Ko- rean Math. Soc. 36 (1999), no. 1, 97-107

7.
M. Laca and I. Raeburn, Semigroup crossed products and the Toeplitz algebras of nonabelian groups, J. Funct. Anal. 139 (1996), no. 2, 415-440

8.
P. S. Muhly, A structure theory for isometric representations of a class of semi- groups, J. Reine Angew. Math. 255 (1972), 135-154

9.
G. J. Murphy, Crossed products of C\$^{\ast}\$-algebras by semigroups of automorphisms, Proc. London Math. Soc. (3) 68 (1994), no. 2, 423-448

10.
A. Nica, C\$^{\ast}\$-algebras generated by isometries and Wiener-Hopf operators, J. Operator Theory 27 (1992), no. 1, 17-52

11.
G. K. Pedersen, C\$^{\ast}\$-algebras and their automorphism groups, London Mathe- matical Society Monograph 14, Academic Press, London, 1979