The structure relationship between the reduced semigroup C-algebra and the reduced group C-algebra

被引：0

作者：

Jang, SY ^{[1
]}

机构：

[1] Univ Ulsan, Sch Math & Phys, Ulsan 680749, South Korea

来源：

KORUS 2003: 7TH KOREA-RUSSIA INTERNATIONAL SYMPOSIUM ON SCIENCE AND TECHNOLOGY, VOL 3, PROCEEDINGS: NATURAL SCIENCE | 2003年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We prove that there exists a canonical *-homomorphism from the reduced semigroup C*-algebra to the reduced group C-algebra for an abelian group. And we also prove that the quotient algebra of the reduced semigroup C*-algebra with its commutator algebra is isomorphic to the reduced group c-algebra.

引用

页码：215 / 219

页数：5

共 50 条

[31] C*-algebra structure on certain Banach algebra products
Abtahi, Fatemeh
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2021, 64 (03): : 678 - 686
[32] STRUCTURE OF GROUP C-STAR-ALGEBRA IN A EUCLIDEAN GROUP OF MOTION
PANOV, AN
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1978, (04): : 46 - 49
[33] On the Borel enveloping C*-algebra of a C*-algebra
Teleman S.
Rendiconti del Circolo Matematico di Palermo, 1997, 46 (2) : 213 - 254
[34] The C*-algebra of the variable Mautner group
Regeiba, Hedi
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 16 (04)
[35] Factorization in the invertible group of a C*-algebra
Leen, MJ
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1997, 49 (06): : 1188 - 1205
[36] A new look at the crossed product of a C*-algebra by a semigroup of endomorphisms
Exel, Ruy
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2008, 28 : 749 - 789
[37] The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra
Ortega, Eduard
Perera, Francesc
Rordam, Mikael
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (01) : 34 - 66
[38] REDUCED C-STAR-ALGEBRA FOR REDUCTIVE P-ADIC GROUPS
PLYMEN, RJ
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 88 (02) : 251 - 266
[39] The C*-algebra of a function algebra
Murphy, GJ
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 47 (03) : 361 - 374
[40] The C*-Algebra of a Function Algebra
Gerald J. Murphy
Integral Equations and Operator Theory, 2003, 47 : 361 - 374

← 1 2 3 4 5 →

The structure relationship between the reduced semigroup C*-algebra and the reduced group C*-algebra

The structure relationship between the reduced semigroup C-algebra and the reduced group C-algebra