논문KCI 등재
The Real Rank of CCR C*-Algebras
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
We estimate the real rank of CCR C*-algebras under some assumptions. As applications we determine the real rank of the reduced group C*-algebras of non-compact connected, semi-simple and reductive Lie groups and that of the group C*-algebras of connected nilpotent Lie groups
Abstract
We estimate the real rank of CCR C*-algebras under some assumptions. As applications we determine the real rank of the reduced group C*-algebras of non-compact connected, semi-simple and reductive Lie groups and that of the group C*-algebras of connected nilpotent Lie groups
참고문헌 (19)
- C. A. Akemann, "Multipliers of C-algebras", J. Funct. Anal, 13, pp.277~301 (1973)
- E. J. Beggs, "The real rank of algebras of matrix valued functions", Internat. J. Math, 2, pp.131~138 (1991)
- L. G. Brown, "Pedersen, C-algebras of real rank zero", J. Funct. Anal, 99, pp.131~149 (1991)
- J. Dixmier, "C-algebras" (1977), North-Holland, Amsterdam
- N. Elhage Hassan, "Rang ré el de certaines extensions", Proc. Amer. Math. Soc, 123, pp.3067~3073 (1995)
- J. Hjelmborg, "On stability of C-algebras", J. Funct. Anal, 155, pp.153~170 (1998)
- E. Kaniuth, "Group C-algebras of real rank zero or one", Proc. Amer. Math. Soc, 119, pp.1347~1354 (1993)
- K. Nagami, "Dimension Theory" (1970), Academic Press, New York-London
- M. Nagisa, "Ranks of algebras of continuous C-algebra valued functions, Canad", J. Math, 53, pp.979~1030 (2001)
- V. Nistor, "Stable rank for a certain class of type I C-algebras", J. Operator Theory, 17, pp.365~373 (1987)
- G. K. Pedersen, "C-Algebras and their Automorphism Groups" (1979), Academic Press, London-New York-San Francisco
- M. A. Rieffel, "Dimension and stable rank in the K-theory of C-algebras", Proc. London Math. Soc, 46, pp.301~333 (1983)
- T. Sudo, "Stable rank of the reduced C-algebras of non-amenable Lie groups of type I", Proc. Amer. Math. Soc, 125, pp.3647~3654 (1997)
- T. Sudo, "Dimension theory of group C-algebras of connected Lie groups of type I", J. Math. Soc, 52, pp.583~590 (2000)
- T. Sudo, "Survey on the rank and structure theory of group C-algebras of Lie groups", Ryukyu Math. J, 13, pp.79~95 (2000)
- T. Sudo, "Stable rank of C-algebras of type I", Linear Algebra Appl, 383, pp.65~76 (2004)
- T. Sudo, "Stable rank of the C-algebras of nilpotent Lie groups", Internat. J. Math, 6, pp.439~446 (1995)
- T. Sudo, "Stable rank of the C-algebras of solvable Lie groups of type I", J. Operator Theory, 38, pp.67~86 (1997)
- N. E.Wegge-Olsen, "K-theory and C-algebras" (1993), Oxford Univ. Press, Oxford-New York-Tokyo
관련 논문AI추천
REAL RANK OF C¤-ALGEBRAS OF TYPE ITakahiro SUDO한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제4호Stable Rank of Group C*-algebras of Some Disconnected Lie GroupsTakahiro Sudo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Stable ranks of multiplier algebras of C^*-algebrasTakahiro Sudo대한수학회 · 대한수학회논문집2002 · 제17권 제3호Strong classification of extensions of classifiable $C^{*}$-algebrasEfren Ruiz, Gunnar Restorff, Søren Eilers대한수학회 · 대한수학회보2022 · 제59권 제3호ON NUCLEARITY OF SEMIGROUP CROSSED PRODUCTSQing Meng대한수학회 · 대한수학회보2023 · 제60권 제2호SOME REDUCED FREE PRODUCTS OF ABELIAN C*-ALGEBRAS AND SOME C*-SUBALGEBRA IN A FREE PRODUCT김정희, 허재성대한수학회 · 대한수학회보2010 · 제47권 제5호
이 간행물의 다른 논문 (14건)
Some Finite Integrals Involving The Product of Srivastava's Polynomials and A Certain H-Function with ApplicationsYashwant Singh, Atul Gargpp. 165-171The Asymptotic Stability of x_n+1-a²x_n-1+bx_n-k=0Piyapong Niamsup, Yongwimon Lenburypp. 173-181Conformally Flat Totally Umbilical Submanifolds in Some Semi-Riemannian ManifoldsStanisław Ewert-Krzemieniewskipp. 183-194On The Function Rings of Pointfree TopologyBernhard Banaschewskipp. 195-206On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and ApplicationsSeong Sik Kim, 조열제, 김영호, Sever Silverstru Dragomirpp. 207-222
