본문 바로가기
KERD
논문KCI 등재

Stable Rank of Group C*-algebras of Some Disconnected Lie Groups

1

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

We estimate the stable rank and connected stable rank of group C-algebras of certain disconnected solvable Lie groups such as semi-direct products of connected solvable Lie groups by the integers.

참고문헌 (20)

  1. "K-theory for Operator Algebras, Second Edition" (1998), Cambridge
  2. "Rangs stables de certaines extensions", 52, pp.605~624 (1995)
  3. "The structure of imprimitivity algebras", pp.88~104 (1980)
  4. "On some types of topological groups", pp.507~558 (1949)
  5. "Some remarks on lifting invertible elements from quotient C-algebras", pp.379~386 (1989)
  6. "Stable range for tensor products of extensions of K by C", pp.387~396 (1986)
  7. "Stable rank for a certain class of type I C-algebras", pp.365~373 (1987)
  8. "Equivariant K-theory and freeness of group actions on C-algebras", pp.~1274 (1987), Springer-Verlag
  9. "Dimension and stable rank in the K-theory of C-algebras", pp.301~333 (1983)
  10. "The homotopy groups of the unitary groups of non-commutative tori", pp.237~254 (1987)
  11. "A cancellation theorem for projective modules over the group C-algebras of certain nilpotent Lie groups", pp.365~427 (1987)
  12. "Stable rank of the reduced C-algebras of non-amenable Lie groups of type I", 125, pp.3647~3654 (1997)
  13. "Dimension theory of group C-algebras of connected Lie groups oftype I", 52, pp.583~590 (2000)
  14. "Structure of group C-algebras of Lie semi-direct products Cn oR", 46, pp.25~38 (2001)
  15. "Structure of group C-algebras of semi-direct productsof Cn by Z", 12(2), pp.135~143 (2001)
  16. "Structure of group C-algebras of the generalized disconnected Mautner groups", 341, pp.317~326 (2002)
  17. "The structure of group C-algebras of the generalized Dixmier groups", 39(2), pp.205~225 (2003)
  18. "Group C-algebras of some connected Lie groups with stable rank one", 29(2), pp.265~280 (2003)
  19. "Stable rank of the C-algebras of nilpotent Lie groups", 6, pp.439~446 (1995)
  20. "Stable rank of the C-algebras of solvable Lie groups of type I", 38, pp.67~86 (1997)

관련 논문AI추천

이 간행물의 다른 논문 (12건)