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  • 1975-1979  (29)
Collection
Publisher
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    On the homology of hypercentral groups (1979)
    Springer
    Archiv der Mathematik 32 (1979), S. 223-226 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01238494
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  • 2
    Electronic Resource
    Electronic Resource
    Finite metabelian groups with no outer automorphisms (1979)
    Springer
    Archiv der Mathematik 32 (1979), S. 417-423 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01238520
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  • 3
    Electronic Resource
    Electronic Resource
    Unbounded derivations of C*-algebras (1975)
    Springer
    Communications in mathematical physics 42 (1975), S. 253-268 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study unbounded derivations ofC*-algebras and characterize those which generate one-parameter groups of automorphisms. We also develop a functional calculus for the domains of closed derivations and develop criteria for closeability. Some specialC*-algebras are considered $$\mathfrak{B}\mathbb{C}(\mathfrak{H}),\mathfrak{B}(\mathfrak{H})$$ , UHF algebras, and in this last context we prove the existence of non-closeable derivations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608976
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  • 4
    Electronic Resource
    Electronic Resource
    Perturbations of flows on Banach spaces and operator algebras (1978)
    Springer
    Communications in mathematical physics 59 (1978), S. 167-196 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract For automorphism groups of operator algebras we show how properties of the difference ‖α t − α' t ‖ are reflected in relations between the generators δα, δ′α. Indeed for a von Neumann algebraM with separable predual we show that if ‖αt − α't‖ ≦ 0.28 for smallt, then δα = γ0(δ′α+δ′)°γ-1 where γ is an inner automorphism ofM and δ is a bounded derivation ofM. If the difference ‖α t − α' t ‖=O(t) ast →; 0, then δα = δ′α + δ and if ‖α t − α' t ‖ ≦ 0.28 for allt then δα=. We prove analogous results for unitary groups on a Hilbert space andC 0,C 0 * groups on a Banach space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01614248
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  • 5
    Electronic Resource
    Electronic Resource
    Ground states of quantum spin systems (1978)
    Springer
    Communications in mathematical physics 64 (1978), S. 41-48 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove that ground states of quantum spin systems are characterized by a principle of minimum local energy and that translationally invariant ground states are characterized by the principle of minimum energy per unit volume.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01940760
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  • 6
    Electronic Resource
    Electronic Resource
    A characterization of clustering states (1975)
    Springer
    Communications in mathematical physics 41 (1975), S. 79-88 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A characterization of states, over quasi-local algebras, which satsfy a strong cluster property is derived. The discussion is applicable to classical systems and quantum systems with Bose or Fermi statistics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608549
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  • 7
    Electronic Resource
    Electronic Resource
    Unbounded derivations and invariant trace states (1976)
    Springer
    Communications in mathematical physics 46 (1976), S. 31-35 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Let $$\mathfrak{M}$$ be a von Neumann algebra with cyclic trace vector Ώ. Let δ(A)=i[H, A] be a spatial derivation of $$\mathfrak{M}$$ implemented by an operatorH such thatHΏ=0 andH is essentially self-adjoint onD(δ)Ώ. It follows that: $$e^{itH} \mathfrak{M}e^{ - itH} = \mathfrak{M},t \in \mathbb{R}.$$
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01610497
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  • 8
    Electronic Resource
    Electronic Resource
    Stability properties and the KMS condition (1978)
    Springer
    Communications in mathematical physics 61 (1978), S. 209-238 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract First we derive stability properties of KMS states and subsequently we derive the KMS condition from stability properties. New results include a convergent perturbation expansion for perturbed KMS states in terms of appropriate truncated functions and stability properties of ground states. Finally we extend the results of Haag, Kastler, Trych-Pohlmeyer by proving that stable states ofL 1-asymptotically abelian systems which satisfy a weak three point cluster property are automatically KMS states. This last theorem gives an almost complete characterization of KMS states, ofL 1-asymptotic abelian systems, by stability and cluster properties (a slight discrepancy can occur for infinite temperature states).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01940765
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  • 9
    Electronic Resource
    Electronic Resource
    Unbounded derivations ofC*-algebras II (1976)
    Springer
    Communications in mathematical physics 46 (1976), S. 11-30 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is demonstrated that a closed symmetric derivation δ of aC⋆-algebra $$\mathfrak{A}$$ generates a strongly continuous one-parameter group of automorphisms of aC⋆-algebra $$\mathfrak{A}$$ if and only if, it satisfies one of the following three conditions 1. (αδ+1)(D(δ))= $$\mathfrak{A}$$ , α∈ℝ\{0}. 2. δ possesses a dense set of analytic elements. 3. δ possesses a dense set of geometric elements. Together with one of the following two conditions 1. ∥(αδ+1)(A)∥≧∥A∥, α∈IR,A∈D(δ). 2. If α∈IR andA∈D(δ) then (αδ+1)(A)≧0 impliesA≧0. Other characterizations are given in terms of invariant states and the invariance ofD(δ) under the square root operation of positive elements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01610496
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  • 10
    Electronic Resource
    Electronic Resource
    Dynamical stability and pure thermodynamic phases (1975)
    Springer
    Communications in mathematical physics 41 (1975), S. 89-97 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A notion of stability of dynamics under distant perturbations is introduced. It is demonstrated, for quasi-local systems, that the stability of an equilibrium state under the same perturbations implies the state is factorial, i.e. strongly clustering in space. We also characterize the set of perturbations necessary to ensure the equivalence of stability and factorialness.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608550
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