Orbifold Spectral Theory
- Carla Farsi
- Mathematics
- 1 March 2001
In this paper we study Sobolev spaces for smooth closed orientable Riemannian orbifolds. In particular we prove the Sobolev embedding theorem, the RellichKondrakov theorem and Poincare’s…
Symmetrized non-commutative tori
- Carla Farsi, Neil Watling
- Mathematics
- 1 December 1993
Soft Non-commutative ToralC*-Algebras
- Carla Farsi
- Mathematics
- 1 December 1997
We define parametrized softC*-algebras associated with finitely generated discrete groups and study in detail the ones associated to Zn. We determine theK-theory of the resultingC*-algebras for large…
$K$-theoretical index theorems for good orbifolds
- Carla Farsi
- Mathematics
- 1 March 1992
In this note we study index theory for general and good orbifolds. We prove a A'-theoretical index theorem for good orbifolds, and from this we deduce as a corollary a numerical index formula. Let D…
Wavelets and Graph C ∗ -Algebras
- Carla Farsi, E. Gillaspy, Sooran Kang, J. Packer
- Mathematics
- 1 January 2016
Here we give an overview on the connection between wavelet theory and representation theory for graph C∗-algebras, including the higher-rank graph C∗-algebras of A. Kumjian and D. Pask. Many authors…
On Orbifold Criteria for Symplectic Toric Quotients
- Carla Farsi, Hans-Christian Herbig, C. Seaton
- Mathematics
- 9 May 2012
We introduce the notion of regular symplectomorphism and graded regular sym- plectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations…
Wavelets and spectral triples for fractal representations of Cuntz algebras
- Carla Farsi, E. Gillaspy, A. Julien, Sooran Kang, J. Packer
- Mathematics
- 22 March 2016
In this article we provide an identification between the wavelet decompositions of certain fractal representations of $C^*-$algebras of directed graphs of M. Marcolli and A. Paolucci, and the…
$C^*$-Algebras of Dynamical Systems on the Non-Commutative Torus.
- Carla Farsi, Neil Watling
- Mathematics
- 1 June 1994
Trivial fixed point subalgebras of the rotation algebra.
- Carla Farsi, Neil Watling
- Mathematics
- 1 December 1993
Quartic Algebras
- Carla Farsi, Neil Watling
- MathematicsCanadian Journal of Mathematics - Journal…
- 1 October 1992
Abstract In this paper we study the fixed point algebra of the automorphism of the rotation algebra , θ = p/q with p, q coprime positive integers, given by u → v -1, v → u. We give a general…
...
...