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  • 1
    Book
    Book
    Quantum symmetries on operator algebras (1998)
    Oxford u.a. :Clarendon Press,
    Details
    Title: Quantum symmetries on operator algebras
    Author: Evans, David E.
    Contributer: Kawahigashi, Yasuyuki
    Publisher: Oxford u.a. :Clarendon Press,
    Year of publication: 1998
    Pages: 829 S.
    Series Statement: Oxford mathematical monographs
    Type of Medium: Book
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  • 2
    Electronic Resource
    Electronic Resource
    Smooth perturbations in non-reflexive Banach spaces (1976)
    Springer
    Mathematische Annalen 221 (1976), S. 183-194 
    Details
    ISSN: 1432-1807
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01433150
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Time dependent perturbations and scattering of strongly continuous groups on Banach spaces (1976)
    Springer
    Mathematische Annalen 221 (1976), S. 275-290 
    Details
    ISSN: 1432-1807
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596393
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Simplicity of crossed products of GCR algebras by abelian groups (1979)
    Springer
    Mathematische Annalen 243 (1979), S. 55-62 
    Details
    ISSN: 1432-1807
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01420206
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    On aC*-algebra approach to phase transition in the two-dimensional Ising model (1983)
    Springer
    Communications in mathematical physics 91 (1983), S. 489-503 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We investigate the state on theC*-algebra of Pauli spins on a one-dimensional lattice (infinitely extended in both directions) which gives rise to the thermodynamic limit of the Gibbs ensemble in the two-dimensional Ising model (with nearest neighbour interaction). It is shown that the representation of the Pauli spin algebra associated with the state is factorial above and at the known critical temperature, while it has a two-dimensional center below the critical temperature. As a technical tool, we derive a general criterion for a state of the Pauli spin algebra corresponding to a Fock state of the Fermion algebra to be primary. We also show that restrictions of two quasifree states of the Fermion algebra to its even part are equivalent if and only if the projection operatorsE 1 andE 2 (on the direct sum of two copies of the basic Hilbert space) satisfy the following two conditions: (1)E 1 −E 2 is in the Hilbert-Schmidt class, (2)E 1 ∧ (1 −E 2) has an even dimension, where the even-oddness of dimE 1 ∧ (1 −E 2) is called ℤ2-index ofE 1 andE 2 and is continuous inE 1 andE 2 relative to the norm topology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01206017
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  • 6
    Electronic Resource
    Electronic Resource
    PP7, a gene encoding a novel protein Ser/Thr phosphatase, is expressed primarily in a subset of guard cells in Arabidopsis thaliana (1999)
    Copenhagen : Munksgaard International Publishers
    Physiologia plantarum 106 (1999), S. 0 
    Details
    ISSN: 1399-3054
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Biology
    Notes: Recently, we have identified a cDNA encoding a novel protein Ser/Thr phosphatase (EC 3.1.3.16) from Arabidopsis thaliana (L.) Heynh. (ecotype Columbia), designated as PP7, which is only distantly related to the known phosphatases of the PPP family. We examined PP7 expression in A. thaliana using Northern blot analysis, reverse transcriptase-polymerase chain reaction (RT-PCR) and whole-mount in situ hybridisation. Although the PP7 transcript could be detected in all organs analysed by the first two methods, whole-mount in situ hybridisation revealed specific expression in a subset of stomata in A. thaliana seedlings. Possible implications of this expression pattern are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1034/j.1399-3054.1999.106211.x
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  • 7
    Electronic Resource
    Electronic Resource
    The amelioration of aluminium toxicity by silicon in higher plants: Solution chemistry or an in planta mechanism? (1998)
    Copenhagen : Munksgaard International Publishers
    Physiologia plantarum 104 (1998), S. 0 
    Details
    ISSN: 1399-3054
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Biology
    Notes: Aluminium (Al) toxicity is a very important factor limiting the growth of plants on acidic soils. Recently, a number of workers have shown that, under certain conditions, silicon (Si) can ameliorate the toxic effects of A1 in hydroponic culture. The mechanism of the amelioration is unclear, but three suggestions have been put forward: Si-induced increase in solution pH during the preparation of hydroponic solutions; reduced availability of Al due to the formation of hydroxyaluminosilicate (HAS) species in those solutions during plant growth; or in planta detoxification. It is now known that it is possible to make up Al and Si solutions in an order in which pH is lowered prior to Al addition; in these cases amelioration has still been observed. Amelioration has also been noted in experiments where HAS formation is minimal. These observations would suggest that, at least under some circumstances, there is an in planta component to the amelioration phenomenon. Several microanalytical investigations have noted codeposition of Al and Si in root cell walls. We propose a model in which root cell walls are the main internal sites of aluminosilicate (AS) and/or HAS formation and of Al detoxification. Factors promoting AS/HAS formation in this compartment include: high apoplastic pH; the presence of organic substances (e.g. malate); and the presence of suitable local concentrations of reactive forms of Al and Si, on or within the surfaces of the wall matrix. All these are likely to be important in the amelioration of Al toxicity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1034/j.1399-3054.1998.1040413.x
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Calmodulin-stimulated calcium pumping ATPases located at higher plant intracellular membranes: a significant divergence from other eukaryotes? (1994)
    Oxford, UK : Blackwell Publishing Ltd
    Physiologia plantarum 90 (1994), S. 0 
    Details
    ISSN: 1399-3054
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Biology
    Notes: The plasma membrane (PM) of all eukaryotes so far investigated contains a P-type Ca2+-pumping ATPase responsible for maintaining low cytosolic free calcium concentrations. In animal cells this has been shown to be a type of Ca2+-pump which is directly stimulated by binding the calcium-dependent regulator protein calmodulin. These PM Ca2+-pumps have been named ‘PM-type’ as they appear to be exclusively located at the PM and not in intracellular membrane (IM) fractions. Recent progress on higher plant cells reveals that they possess calmodulin-stimulated Ca2+-pumps of the ‘PM-type’. However, these calmodulin-stimulated Ca2+-pumps appear to be located not only at the PM but also in intracellular membranes, probably the endoplasmic reticulum (ER). The evidence is also convincing that these IM-located Ca2+-pumps are directly stimulated by calmodulin (possess a calmodulin-binding region) and are true ‘PM-type’ Ca2+-pumps. This appears to represent a marked divergence between plant and animal cell Ca2+-pumps. Recently, molecular cloning has revealed that plant cells also contain a Ca2+-pump which is not directly stimulated by calmodulin and which strongly resembles the mammalian ER/SR type of Ca2+-pump. The significance of these findings for plant cell function is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1399-3054.1994.tb00408.x
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  • 9
    Electronic Resource
    Electronic Resource
    Embeddings ofU(1)-current algebras in non-commutative algebras of classical statistical mechanics (1989)
    Springer
    Communications in mathematical physics 121 (1989), S. 507-525 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Motivated by multiplicativeK-homology, and understanding critical phenomena in some classical statistical mechanical models, we construct actions ofGL(∞) on the operator algebras of V. Jones and Ocneanu, and analyse these in terms of embeddings ofU(1)-current algebras.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01217736
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  • 10
    Electronic Resource
    Electronic Resource
    Orbifold Subfactors from Hecke Algebras II – Quantum Doubles and Braiding (1998)
    Springer
    Communications in mathematical physics 196 (1998), S. 331-361 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: A. Ocneanu has observed that a mysterious orbifold phenomenon occurs in the system of the M ∞-M ∞ bimodules of the asymptotic inclusion, a subfactor analogue of the quantum double, of the Jones subfactor of type . We show that this is a general phenomenon and identify some of his orbifolds with the ones in our sense as subfactors given as simultaneous fixed point algebras by working on the Hecke algebra subfactors of type $A$ of Wenzl. That is, we work on their asymptotic inclusions and show that the M ∞-M ∞ bimodules are described by certain orbifolds (with ghosts) for . We actually compute several examples of the (dual) principal graphs of the asymptotic inclusions. As a corollary of the identification of Ocneanu's orbifolds with ours, we show that a non-degenerate braiding exists on the even vertices of D 2 n , n〉2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050424
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