Results 31 to 40 of about 3,750 (203)

Unital extensions of $AF$-algebras by purely infinite simple algebras [PDF]

, 2014
summary:In this paper, we consider the classification of unital extensions of $AF$-algebras by their six-term exact sequences in $K$-theory. Using the classification theory of $C^*$-algebras and the universal coefficient theorem for unital extensions, we
Efren Ruiz, Eilers, Søren, Liu, Junping, Søren Eilers, Gunnar Restorff, Changguo Wei, Wei, Changguo, Junping Liu, Restorff, Gunnar, Ruiz, Efren   +9 more
core   +1 more source

Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds

Applied General Topology, 2011
The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. Some examples are given to illustrate these geometric information.
Vida Milani, Ali Asghar Rezaei, Seyed M.H. Mansourbeigi   +2 more
doaj   +1 more source

UNITS OF FORCE [PDF]

Science, 1916
n ...
openaire   +2 more sources

On unital qubit channels

, 2023
A canonical form for unital qubit channels under local unitary transforms is obtained. In particular, it is shown that the eigenvalues of the Choi matrix of a unital quantum channel form a complete set of invariants of the canonical form.
Li, Chi-Kwong, Choi, Man-Duen
core  

Closed equivalence relations on compact spaces and pairs of commutative C*-algebras: a Categorical Approach

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
In this paper, we study a categorical extension of the classical Gelfand-Naimark duality between compact Hausdorff spaces and commutative unital C*-algebras.
Роман Скуріхін, Сергій Гефтер, Євген Каролінський   +2 more
doaj   +1 more source

Generators of maximal left ideals in Banach algebras [PDF]

, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core  

On new approach to semi-Fredholm theory in unital C^*-algebras

Pracì Mìžnarodnogo Geometričnogo Centru
Axiomatic Fredholm theory in unital C*-algebras was established in [D. Kečkić, Z. Lazović, Acta Sci. Math., 83(3-4):629--655, 2017]. Following the pure algebraic approach by Kečkić and Lazović, in the author's paper [S. Ivković, Banach J. Math. Anal., 17:
Stefan Ivkovic
doaj   +1 more source

Property (T) for non-unital C∗-algebras

, 2008
Inspired by the recent work of Bekka, we study two reasonable analogues of property (T) for not necessarily unital C∗-algebras. The stronger one of the two is called “property (T)” and the weaker one is called “property (Te).” It is shown that all non ...
Ng, Chi-Keung, Chi-Keung Ng, Leung, Chi-Wai, Ngai-Ching Wong, Wong, Ngai-Ching, Chi-Wai Leung   +5 more
core   +1 more source

Two-transitive groups on a hyperbolic unital

, 2007
A classification given previously of all projective translation planes of order q2 that admit a collineation group G admitting a two-transitive orbit of q+1 points is applied to show that the only projective translation planes of order q2 admitting a ...
BILIOTTI, Mauro, M. Biliotti, N.L. Johnson, V. JHA, MONTINARO, Alessandro, Montinaro, A., Biliotti, M., Johnson, N.L., N. L. JOHNSON, A. Montinaro, Jha, V.   +10 more
core   +1 more source

Morita equivalent unital locally matrix algebras

, 2020
We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz numbers are rationally connected ...
Oliynyk, Bogdana, Bezushchak, O., Bezushchak, Oksana, Oliynyk, B.   +3 more
core   +1 more source