## 3 Citations

### Continuous fields of c-algebras, their cuntz semigroup and the geometry of dimension fuctions

- Mathematics
- 2013

Aquesta tesi doctoral tracta sobre C*-algebres i els seus invariants de Teoria K. Ens hem centrat principalment en l’estructura d’una classe de C*-algebres anomenada camps continus i l’estudi d’un…

### Symmetries on the discrete Heisenberg group C * -algebra

- Mathematics
- 2006

We consider symmetries on the C*-algebra of the discrete Heisenberg group and their generalization to the generalized discrete Heisenberg groups, and study the structure of the crossed products by…

## References

SHOWING 1-10 OF 27 REFERENCES

### On the Stable Rank of Algebras of Operator Fields Over an N‐Cube

- Mathematics
- 2004

Let A be a unital maximal full algebra of operator fields with base space [0, 1]k and fibre algebras {At}t∈[0,1]k . It is shown in this paper that the stable rank of A is bounded above by the…

### STABLE RANK OF THE C*-ALGEBRAS OF NILPOTENT LIE GROUPS

- Mathematics
- 1995

The stable rank of the C*-algebras of simply connected nilpotent Lie groups is determined by the dimension of the fixed point subspaces of the real adjoint spaces of the Lie algebras under the…

### On the structure of twisted group C*-algebras

- Mathematics
- 1992

We first give general structural results for the twisted group algebras C*(G, σ) of a locally compact group G with large abelian subgroups. In particular, we use a theorem of Williams to realise…

### The Primitive Ideal Space of Two-Step Nilpotent Group C*-Algebras

- Mathematics
- 1994

Abstract Let N be a two-step nilpotent, locally compact, second countable group having center Z and quotient A = N/Z. We study the Jacobson topology on the primitive ideal space Prim C*(N) of the…

### TOPOLOGICAL REPRESENTATION OF C*-ALGEBRAS

- Mathematics
- 1962

Let A be a C*-algebra, ίl the structure space of A, i.e. the space of all primitive ideals in A with hull-kernel topology. At every point P of ί l we associate a primitive C^-algebra A/P (which we…

### Locally Compact Transformation Groups and C*-Algebras

- Mathematics
- 1967

I t has long been recognized that one may associate operator algebras with transformation groups (see, e.g. [9, Chapter III] , [ l l ; 1, p. 310] [5]). In this paper we shall answer two questions…

### Projective Modules over Higher-Dimensional Non-Commutative Tori

- MathematicsCanadian Journal of Mathematics
- 1988

The non-commutative tori provide probably the most accessible interesting examples of non-commutative differentiable manifolds. We can identify an ordinary n-torus Tn with its algebra, C(Tn), of…

### C*-algebras by example

- Mathematics
- 1996

The basics of C*-algebras Normal operators and abelian C*-algebras Approximately finite dimensional (AF) C*-algebras $K$-theory for AF C*-algebras C*-algebras of isometries Irrational rotation…

### EXTENSIONS OF K BY C(X)

- Mathematics
- 2003

An operator A ∈ B(H) whose self-commutator A∗A − AA∗ is compact is called essentially normal. Two operators A ∈ B(H) and B ∈ B(K) are said to be approximately equivalent if they are unitarily…

### Approximately Central Matrix Units and the Structure of Noncommutative Tori

- Mathematics
- 1992

The property of approximate divisibility for C*-algebras is introduced and studied. Simple approximately divisible C*-algebras are shown to have nice nonstable K-theory properties. Non- rational…