Results 41 to 50 of about 461,348 (110)

A dichotomy for groupoid C*-algebras [PDF]

, 2017
We study the finite versus infinite nature of C*-algebras arising from etale groupoids. For an ample groupoid G, we relate infiniteness of the reduced C*-algebra of G to notions of paradoxicality of a K-theoretic flavor.
Rainone, Timothy, Sims, Aidan
core   +2 more sources

Automorphisms of the bipartite graph planar algebra

, 2010
For any abstract subfactor planar algebra $P$, there exists a finite index extremal subfactor $M_0 \subset M_1$ with $P$ as its standard invariant.
Burstein, R. D.
core   +1 more source

Some notes on Morita equivalence of Operator Algebras [PDF]

arXiv, 2016
In this paper we present some key moments in the history of Morita equivalence for operator algebras.
arxiv  

Type-Decomposition of a Synaptic Algebra [PDF]

, 2013
A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. In this article we extend to synaptic algebras the type-I/II/III decomposition of von Neumann algebras, AW*-algebras, and JW-algebras.
arxiv   +1 more source

Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants [PDF]

, 2013
Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants.
Evans, David E., Pugh, Mathew
core   +2 more sources

Canonical tensor product subfactors

, 1999
Canonical tensor product subfactors (CTPS's) describe, among other things, the embedding of chiral observables in two-dimensional conformal quantum field theories.
Rehren, K. -H.
core   +1 more source

Graph theoretic invariants for operator algebras associated to topological dynamics [PDF]

arXiv, 2013
We expand on some invariants used for classifying nonselfadjoint operator algebras. Specifically to nonselfadjoint operator algebras which have a conditional expectation onto a commutative diagonal we construct an edge-colored directed graph which can be used as an operator algebra invariant.
arxiv  

Factoriality of Bozejko-Speicher von Neumann algebras

, 2003
We study the von Neumann algebra generated by q--deformed Gaussian elements l_i+l_i^* where operators l_i fulfill the q--deformed canonical commutation relations l_i l_j^*-q l_j^* l_i=delta_{ij} for ...
Sniady, Piotr
core   +3 more sources

Arens algebras of measurable operators for Maharam traces [PDF]

arXiv, 2013
We study order and topological properties of the non-commutative Arens algebra associated with arbitrary Maharam trace.
arxiv  

Isometric Dilations of Representations of Product Systems via Commutants

, 2006
We construct a weak dilation of a not necessarily unital CP-semigroup to an E-semigroup acting on the adjointable operators of a Hilbert module with a unit vector.
Michael Skeide, Via Commutants
core   +1 more source