227 citations · 968 across the 42 of their papers we have counts for
5 papers · 2 filters
Lifting algebraic contractions in C*-algebras
Terry Loring, Tatiana Shulman
Let p be a polynomial in one variable. It is shown that the universal C*-algebra of the relation p(x)=0, \|x\| \le C is semiprojective, residually finite-dimensional and has trivia…
Almost commuting unitary matrices related to time reversal
Terry A. Loring, Adam P. W. Sørensen
The behavior of fermionic systems depends on the geometry of the system and the symmetry class of the Hamiltonian and observables. Almost commuting matrices arise from band-project…
Factorization of Matrices of Quaternions
Terry A. Loring
We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factoriza…
The Point in Weak Semiprojectivity and AANR Compacta
Terry A. Loring
We initiate the study of pointed approximative absolute neighborhood retracts. Our motivation is to generate examples of C*-algebras that behave in unexpected ways with respect to…
Noncommutative Semialgebraic Sets in Nilpotent Variables
Terry A. Loring, Tatiana Shulman
We solve the lifting problem in C^*-algebras for many sets of relations that include the relations x_j^{N_j} = 0 on each variable. The remaining relations must be of the form \| p(…