AbstractIn this paper we are concerned with the construction of a general principle that will allow us to produce regular spectral triples with finite and simple dimension spectrum. We introduce the notion of weak heat kernel asymptotic expansion (WHKAE) property of a spectral triple and show that the weak heat kernel asymptotic expansion allows one to conclude that the spectral triple is regular with finite simple dimension spectrum. The usual heat kernel expansion implies this property. The notion of quantum double suspension of a C⁎-algebra was introduced by Hong and Szymanski. Here we introduce the quantum double suspension of a spectral triple and show that the WHKAE is stable under quantum double suspension. Therefore quantum double s...
In this thesis, we develop a deformation procedure for spectral triples. The initial data for the de...
Inspired by regularization in quantum field theory, we study topological and metric properties of sp...
Abstract. We show that the family of spectral triples for quantum projective spaces in-troduced by D...
In this paper we are concerned with the construction of a general principle that will allow us to pr...
AbstractIn this paper we are concerned with the construction of a general principle that will allow ...
This thesis investigates the role of dimension in the noncommutative geometry of quantum groups and ...
We formulate the notion of equivariance of an operator with respect to a covariant representation of...
The torus group (S<SUB>1</SUB>)<SUP>l+1</SUP> has a canonical action on the odd dimensional sphere S...
Spectral triples and quantum statistical mechanical systems are two important constructions in nonco...
The quantum group SUq(l+1) has a canonical action on the odd dimensional sphere Sq2l+1. All odd spec...
22 pages, dedicated to Stuart Dowker on his 75th birthdayInternational audienceThe principal object ...
Inspired by regularization in quantum field theory, we study topological and metric properties of sp...
The original publication can be found at www.springerlink.comWe characterize all equivariant odd spe...
We present some techniques in the construction of spectral triples for C*-algebras, in particular th...
Motivated by examples coming from the theory of quantum groups, we investigate the regularity condit...
In this thesis, we develop a deformation procedure for spectral triples. The initial data for the de...
Inspired by regularization in quantum field theory, we study topological and metric properties of sp...
Abstract. We show that the family of spectral triples for quantum projective spaces in-troduced by D...
In this paper we are concerned with the construction of a general principle that will allow us to pr...
AbstractIn this paper we are concerned with the construction of a general principle that will allow ...
This thesis investigates the role of dimension in the noncommutative geometry of quantum groups and ...
We formulate the notion of equivariance of an operator with respect to a covariant representation of...
The torus group (S<SUB>1</SUB>)<SUP>l+1</SUP> has a canonical action on the odd dimensional sphere S...
Spectral triples and quantum statistical mechanical systems are two important constructions in nonco...
The quantum group SUq(l+1) has a canonical action on the odd dimensional sphere Sq2l+1. All odd spec...
22 pages, dedicated to Stuart Dowker on his 75th birthdayInternational audienceThe principal object ...
Inspired by regularization in quantum field theory, we study topological and metric properties of sp...
The original publication can be found at www.springerlink.comWe characterize all equivariant odd spe...
We present some techniques in the construction of spectral triples for C*-algebras, in particular th...
Motivated by examples coming from the theory of quantum groups, we investigate the regularity condit...
In this thesis, we develop a deformation procedure for spectral triples. The initial data for the de...
Inspired by regularization in quantum field theory, we study topological and metric properties of sp...
Abstract. We show that the family of spectral triples for quantum projective spaces in-troduced by D...