10 citations · 26 across the 8 of their papers we have counts for
8 papers
Two partial monoid structures on a set
Rachel A. D. Martins
It is well-known that small categories have equivalent descriptions as partial monoids. We provide a formulation of partial monoid and partial monoid homomorphism involving and…
Applications to quantum gravity from C*-bundles
Rachel A. D. Martins
Applications to quantum gravity of some results in C*-algebras are developed. We open by describing why algebra may be an integral aspect of quantum gravity. By interpreting the in…
C*-bundle dynamical systems
Rachel A. D. Martins
C*-bundle dynamical systems are introduced and their rôle within the theory of C*-subalgebras and Fell bundles is investigated. A C*-bundle dynamical system involves an action of a…
Spectral C*-categories and Fell bundles with path-lifting
Rachel A. D. Martins
Following Crane's suggestion that categorification should be of fundamental importance in quantising gravity, we show that finite dimensional even -real spectral triples over…
Non-commutative fermion mass matrix and gravity
Rachel A. D. Martins
The first part is an introductory description of a small cross-section of the literature on algebraic methods in non-perturbative quantum gravity with a specific focus on viewing a…
Double Fell bundles over discrete double groupoids with folding
Rachel A. D. Martins
In this paper we construct the notions of double Fell bundle and double C*-category for possible future use as tools to describe noncommutative spaces, in particular in finite dime…