Zobrazeno 1 - 10
of 426
pro vyhledávání: '"Matthes R"'
Publikováno v:
Banach Center Publications 98 (2012) 67-84
In this overview, we study how to reduce the index pairing for a fibre-product C*-algebra to the index pairing for the C*-algebra over which the fibre product is taken. As an example we analyze the case of suspensions and apply it to noncommutative i
Externí odkaz:
http://arxiv.org/abs/math/0702001
Autor:
Matthes, R.
We describe a locally trivial quantum principal U(1)-bundle over the quantum space S^2_{pq} which is a noncommutative analogue of the usual Hopf bundle. We also provide results concerning the structure of its total space algebra (irreducible *-repres
Externí odkaz:
http://arxiv.org/abs/math/0210199
We consider two Z/2Z-actions on the Podles generic quantum spheres. They yield, as noncommutative quotient spaces, the Klimek-Lesniewski q-disc and the quantum real projective space, respectively. The C*-algebras of all these quantum spaces are descr
Externí odkaz:
http://arxiv.org/abs/math/0209268
Following ideas of Connes and Moscovici, we describe two spectral triples related to the Kronecker foliation, whose generalized Dirac operators are related to first and second order signature operators. We also consider the corresponding differential
Externí odkaz:
http://arxiv.org/abs/math-ph/0201066
The irreducible *-representations of the polynomial algebra O(S^3_{pq}) of the quantum 3-sphere introduced by Calow and Matthes are classified. The K-groups of its universal C*-algebra are shown to coincide with their classical counterparts. The U(1)
Externí odkaz:
http://arxiv.org/abs/math/0112317
Autor:
Calow, D., Matthes, R.
Extending work of Budzynski and Kondracki, we investigate coverings and gluings of algebras and differential algebras. We describe in detail the gluing of two quantum discs along their classical subspace, giving a C*-algebra isomorphic to a certain P
Externí odkaz:
http://arxiv.org/abs/math/9910031
Autor:
Alberti, P. M., Matthes, R.
The paper covers known facts about the Dixmier trace (with some generalities about traces), the Wodzicki residue, and Connes' trace theorem, including two variants of proof of the latter. Action formulas are treated very sketchy, because they were co
Externí odkaz:
http://arxiv.org/abs/math-ph/9910011
Autor:
Hajac, P. M., Matthes, R.
We construct a quantum frame bundle of the quantum plane $C^2_p$ by requiring that a $GL_{q,p}(2)$-covariant differential calculus on $C^2_p$ be isomorphic as a bimodule to the space of sections of the associated quantum cotangent bundle. We also con
Externí odkaz:
http://arxiv.org/abs/math/9803127
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