Results 11 to 20 of about 953 (180)

Clifford modules and symmetries of topological insulators [PDF]

, 2011
We complete the classification of symmetry constraints on gapped quadratic fermion hamiltonians proposed by Kitaev. The symmetry group is supposed compact and can include arbitrary unitary or antiunitary operators in the Fock space that conserve the ...
G. Abramovici, P. Kalugin
semanticscholar   +2 more sources

Nilmanifolds with non-nilpotent complex structures and their pseudo-Kähler geometry [PDF]

RACSAM
We classify nilpotent Lie algebras with complex structures of weakly non-nilpotent type in real dimension eight, which is the lowest dimension where they arise. Our study, together with previous results on strongly non-nilpotent structures, completes the
A. Latorre, Luis Ugarte
semanticscholar   +3 more sources

Modular Data of Non-Semisimple Modular Categories [PDF]

International Journal of Mathematics
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physics.
Liang-Chu Chang, Quinn T. Kolt, Zhenghan Wang, Qing Zhang   +3 more
semanticscholar   +3 more sources

A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1987
In recent years, there has been a rapid growth of the K-theory of C*-algebras. From a certain point of view, C*-algebras can be treated as “non-commutative topological spaces”, while finitely generated projective modules over them can be thought of as ...
A. Sheu
semanticscholar   +2 more sources

A class of nonlinear centralizers on nest algebras [PDF]

Journal of Hebei University of Science and Technology
In order to extend the basic theory of operator algebras, the conditions for a class of nonlinear mappings to become additive centralizers on nest algebras were studied.
Yude JI, Bing WU, Cui YANG
doaj   +1 more source

Hopf algebra structure on topological Hochschild homology [PDF]

, 2005
The topological Hochschild homology THH(R) of a commu- tative S-algebra (E1 ring spectrum) R naturally has the structure of a commutative R-algebra in the strict sense, and of a Hopf algebra over R in the homotopy category.
V. Angeltveit, J. Rognes
semanticscholar   +1 more source

Anomalous symmetries of classifiable C*-algebras

, 2023
This thesis studies the existence and uniqueness of $G$-kernels on those C$^*$-algebras classified by the Elliott programme. We develop two obstructions to the possible $H^3$ invariants of a $G$-kernel.
Girón Pacheco, Sergio
core   +1 more source

Fibrations with noncommutative fibers [PDF]

, 2008
We study an analogue of fibrations of topological spaces with the homotopy lifting property in the setting of C -algebra bundles. We then derive an analogue of the Leray-Serre spectral sequence to compute the K-theory of the fibration in terms of the ...
S. Echterhoff, R. Nest, H. Oyono-Oyono
semanticscholar   +1 more source

Open Topological Field Theories and 2-Segal Objects [PDF]

, 2019
In this thesis we analyze 2-dimensional open topological field theories in both 1-categorical and ∞-categorical contexts. Making use of the formalism, introduced by Dyckerhoff and Kapranov, of graphs structured over a crossed simplicial group ∆G, we give
Stern, Walker H.
core   +1 more source

Superstructures on graded phase space [PDF]

, 1988
In this thesis we study problems associated with the generalisation, to include Grassmann type variables, of the 'group theoretical' approach to quantisation of C.Isham [37].
Speares, William, Speares, W
core