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Publications Influence

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… Expand

35 3

$K$-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… Expand

12 2

Wavelets and spectral triples for fractal representations of Cuntz algebras

- Carla Farsi, Elizabeth A. Gillaspy, A. Julien, S. 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… Expand

9 1- PDF

Trivial fixed point subalgebras of the rotation algebra.

- Carla Farsi, N. Watling
- Mathematics
- 1 December 1993

8 1

Purely atomic representations of higher-rank graph C*-algebras

- Carla Farsi, Elizabeth A. Gillaspy, P. Jorgensen, S. Kang, J. Packer
- Mathematics
- 10 June 2018

We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equivalent and we give… Expand

2 1- PDF

Equivariant spin bordism in low dimensions

- Carla Farsi
- Mathematics
- 24 February 1992

Abstract We study Ω Spin, Z p n , n =5, 6, 7, where p is an odd prime and we consider some applications to the existence of Z p -invariant metrics of positive scalar curvature on closed spin… Expand

2 1

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… Expand

6 1

Spectral triples and wavelets for higher-rank graphs

- Carla Farsi, Elizabeth A. Gillaspy, A. Julien, S. Kang, J. Packer
- Mathematics, Physics
- 25 March 2018

In this paper, we present a new way to associate a finitely summable spectral triple to a higher-rank graph $\Lambda$, via the infinite path space $\Lambda^\infty$ of $\Lambda$. Moreover, we prove… Expand

11- PDF

Separable representations, KMS states, and wavelets for higher-rank graphs

- Carla Farsi, Elizabeth A. Gillaspy, S. Kang, J. Packer
- Mathematics
- 3 May 2015

Let $\Lambda$ be a strongly connected, finite higher-rank graph. In this paper, we construct representations of $C^*(\Lambda)$ on certain separable Hilbert spaces of the form $L^2(X,\mu)$, by… Expand

29- PDF

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