Results 11 to 20 of about 39 (39)
Gysin sequences and SU(2)‐symmetries of C∗‐algebras
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 440-492, December 2021., 2021 Abstract Motivated by the study of symmetries of C∗‐algebras, as well as by multivariate operator theory, we introduce the notion of an SU(2)‐equivariant subproduct system of Hilbert spaces. We analyse the resulting Toeplitz and Cuntz–Pimsner algebras and provide results about their topological invariants through Kasparov's bivariant K‐theory.
Francesca Arici, Jens Kaad
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Injectivity results for coarse homology theories
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1619-1684, December 2020., 2020 Abstract We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
Ulrich Bunke +3 more
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Modified Novikov Operators and the Kastler‐Kalau‐Walze‐Type Theorem for Manifolds with Boundary
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we give two Lichnerowicz‐type formulas for modified Novikov operators. We prove Kastler‐Kalau‐Walze‐type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4‐dimensional compact manifolds.
Sining Wei, Yong Wang, John D. Clayton
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Noncommutativity in Effective Loop Quantum Cosmology
Advances in High Energy Physics, Volume 2019, Issue 1, 2019., 2019 We construct a noncommutative extension of the Loop Quantum Cosmology effective scheme for the flat FLRW model with a free scalar field via a theta deformation. Firstly, a deformation is implemented in the configuration sector, among the holonomy variable and the matter degree of freedom.
Abraham Espinoza-García +4 more
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On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, Volume 2017, Issue 1, 2017., 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include the emergence of algebraic approach and the necessity
Wladyslaw Adam Majewski, Remi Léandre
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Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We introduce a C⁎‐algebra A(x,Q) attached to the cluster x and a quiver Q. If QT is the quiver coming from triangulation T of the Riemann surface S with a finite number of cusps, we prove that the primitive spectrum of A(x,QT) times R is homeomorphic to a generic subset of the Teichmüller space of surface S.
Igor V. Nikolaev, Gelu Popescu
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On the Dolbeault–Dirac operator of quantized symmetric spaces
Transactions of the London Mathematical Society, Volume 2, Issue 1, Page 33-56, 2015., 2015 The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quan‐tizing the Dolbeault–Dirac operator associated to the canonical spin c structure.
Ulrich Krähmer +1 more
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Towards Noncommutative Linking Numbers via the Seiberg‐Witten Map
Advances in Mathematical Physics, Volume 2015, Issue 1, 2015., 2015 Some geometric and topological implications of noncommutative Wilson loops are explored via the Seiberg‐Witten map. In the abelian Chern‐Simons theory on a three‐dimensional manifold, it is shown that the effect of noncommutativity is the appearance of 6n new knots at the nth order of the Seiberg‐Witten expansion.
H. García-Compeán +3 more
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Advances in High Energy Physics, Volume 2015, Issue 1, 2015., 2015 The Duffin‐Kemmer‐Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on ...
Zhi Wang +4 more
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A Kastler‐Kalau‐Walze Type Theorem for 7‐Dimensional Manifolds with Boundary
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We give a brute‐force proof of the Kastler‐Kalau‐Walze type theorem for 7‐dimensional manifolds with boundary.
Jian Wang, Yong Wang, Gang Xu
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