Results 101 to 110 of about 525 (181)

Noncommutative topological $\mathbb{Z}_2$ invariant

open access: yes, 2016
We generalize the $\mathbb{Z}_2$ invariant of topological insulators using noncommutative differential geometry in two different ways. First, we model Majorana zero modes by KQ-cycles in the framework of analytic K-homology, and we define the noncommutative $\mathbb{Z}_2$ invariant as a topological index in noncommutative topology.
Kaufmann, Ralph M.   +2 more
openaire   +2 more sources

Noncommutative transforms and free pluriharmonic functions

open access: yes, 2009
In this paper, we study free pluriharmonic functions on noncommutative balls [B(H)n]γ, γ>0, and their boundary behavior. These functions have the formf(X1,…,Xn)=∑k=1∞∑|α|=kbαXα∗+a0I+∑k=1∞∑|α|=kaαXα,aα,bα∈C, where the convergence of the series is in the ...
Gelu Popescu, Popescu, Gelu
core   +1 more source

Noncommutative Topological Entropy of Endomorphisms of Cuntz Algebras II

open access: yesPublications of the Research Institute for Mathematical Sciences, 2011
A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with J.\,Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type. In particular it is shown that if \mathsf{H}
openaire   +4 more sources

Noncommutative Lattices and the Algebras of their Continuous Functions

open access: yes, 1998
Recently a new kind of approximation to continuum topological spaces has been introduced, the approximating spaces being partially ordered sets (posets) with a finite or at most a countable number of points.
P. TEOTONIO SOBRINHO   +5 more
core   +1 more source

Noncommutative gauge theories with Endomorphism algebras

open access: yes, 2006
27 PagesWe formulate a Yang-Mills action principle for noncommutative connections on an endomorphism algebra of a vector bundle. It is shown that there is an influence of the topology of the vector bundle onto the structure of the vacuums of the theory ...
Sérié, Emmanuel
core   +1 more source

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

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