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Volumn 21, Issue 3, 2000, Pages 249-292

Computations of K- and L-theory of cocompact planar groups

Author keywords

K theory; L theory; Planar groups

Indexed keywords


EID: 17344376877     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026539221644     Document Type: Article
Times cited : (53)

References (52)
  • 1
    • 0040281366 scopus 로고
    • The computation of surgery groups of finite groups with Abelian 2-hyperelementary subgroups
    • Springer, New York
    • Bak, A.: The Computation of Surgery Groups of Finite Groups with Abelian 2-Hyperelementary Subgroups, Lecture Notes in Math. 551, Springer, New York, 1976, pp. 384-409.
    • (1976) Lecture Notes in Math. , vol.551 , pp. 384-409
    • Bak, A.1
  • 2
    • 0039097441 scopus 로고
    • The computation of odd dimensional projective surgery groups of finite groups
    • Bak, A. and Kolster, A.: The computation of odd dimensional projective surgery groups of finite groups, Topology 21 (1982), 35-63.
    • (1982) Topology , vol.21 , pp. 35-63
    • Bak, A.1    Kolster, A.2
  • 3
    • 0000554693 scopus 로고
    • A universal proper G-space
    • Abels, H.: A universal proper G-space, Math. Z. 159 (1978), 143-158.
    • (1978) Math. Z. , vol.159 , pp. 143-158
    • Abels, H.1
  • 5
    • 51249169380 scopus 로고
    • The Whitehead group of a polynomial extension
    • Bass, H., Heller, A. and Swan, R.: The Whitehead group of a polynomial extension, Publ. Math. IHES 22 (1964), 61-80.
    • (1964) Publ. Math. IHES , vol.22 , pp. 61-80
    • Bass, H.1    Heller, A.2    Swan, R.3
  • 6
    • 0000952210 scopus 로고
    • Classifying space for proper actions and K-theory of group C*-algebras
    • R. S. Doran (ed.), C*-algebras, Amer. Math. Soc., Providence
    • Baum, P., Connes, A. and Higson, N.: Classifying space for proper actions and K-theory of group C*-algebras, In: R. S. Doran (ed.), C*-algebras, Contemp. Math. 167, Amer. Math. Soc., Providence, 1994, pp. 241-291.
    • (1994) Contemp. Math. , vol.167 , pp. 241-291
    • Baum, P.1    Connes, A.2    Higson, N.3
  • 8
    • 0003246101 scopus 로고
    • K-theory for operator algebras
    • Springer, New York
    • Blackadar, B.: K-theory for Operator Algebras, M.S.R.I. Monographs 5, Springer, New York, 1986.
    • (1986) M.S.R.I. Monographs , vol.5
    • Blackadar, B.1
  • 9
    • 0003326140 scopus 로고
    • Homotopy limits, completions and localizations
    • Springer, New York
    • Bousfield, A. K. and Kahn, D. M.: Homotopy Limits, Completions and Localizations, Lecture Notes in Math. 304, Springer, New York, 1972.
    • (1972) Lecture Notes in Math. , vol.304
    • Bousfield, A.K.1    Kahn, D.M.2
  • 10
    • 0003340443 scopus 로고
    • Cohomology of groups
    • Springer, New York
    • Brown, K. S.: Cohomology of Groups, Grad. Texts in Math. 87, Springer, New York, 1982.
    • (1982) Grad. Texts in Math. , vol.87
    • Brown, K.S.1
  • 12
    • 84966214689 scopus 로고
    • Unitary nilpotent groups and Hermitian K-theory I
    • Cappell, S.: Unitary nilpotent groups and Hermitian K-theory I, Bull. Amer. Math. Soc. 80 (1974), 1117-1122.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 1117-1122
    • Cappell, S.1
  • 13
    • 0009396069 scopus 로고
    • Lower K-theory of finite groups
    • Carter, D.: Lower K-theory of finite groups, Comm. Alg. 8 (1980), 1927-1937.
    • (1980) Comm. Alg. , vol.8 , pp. 1927-1937
    • Carter, D.1
  • 15
    • 0000584909 scopus 로고    scopus 로고
    • Spaces over a category, assembly maps in isomorphism conjecture in K- and L-theory
    • Davis, J. and Lück, W.: Spaces over a category, assembly maps in isomorphism conjecture in K- and L-theory, K-Theory 15 (1998), 201-252.
    • (1998) K-theory , vol.15 , pp. 201-252
    • Davis, J.1    Lück, W.2
  • 17
    • 0040281364 scopus 로고
    • 2(ℤπ) for π a group of order 2 or 3
    • 2(ℤπ) for π a group of order 2 or 3, J. London Math. Soc. 11(2) (1975), 481-490.
    • (1975) J. London Math. Soc. , vol.11 , Issue.2 , pp. 481-490
    • Dunwoody, M.J.1
  • 18
    • 84968466659 scopus 로고
    • Isomorphism conjectures in algebraic K-theory
    • Farrell, F. T. and Jones, L. E.: Isomorphism conjectures in algebraic K-theory, J. Amer. Math. Soc. 6 (1993), 249-298.
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 249-298
    • Farrell, F.T.1    Jones, L.E.2
  • 19
    • 0002029389 scopus 로고
    • The lower algebraic K-theory for virtually infinite cyclic groups
    • Farrell, F. T. and Jones, L. E.: The lower algebraic K-theory for virtually infinite cyclic groups, K-Theory 9 (1995), 13-30.
    • (1995) K-theory , vol.9 , pp. 13-30
    • Farrell, F.T.1    Jones, L.E.2
  • 20
    • 85037502121 scopus 로고    scopus 로고
    • private communication
    • Farrell, F. T. and Jones, L. E., private communication (2000).
    • (2000)
    • Farrell, F.T.1    Jones, L.E.2
  • 22
    • 0006771065 scopus 로고
    • Subgroups of infinite index in Fuchsian groups
    • Hoare, A. H. M., Karrass, A. and Solitar, D.: Subgroups of infinite index in Fuchsian groups, Math. Z. 125 (1972), 59-69.
    • (1972) Math. Z. , vol.125 , pp. 59-69
    • Hoare, A.H.M.1    Karrass, A.2    Solitar, D.3
  • 25
    • 0040281362 scopus 로고
    • On the K-homology of classifying spaces
    • Knapp, K.: On the K-homology of classifying spaces, Math. Ann. 233 (1978), 103-124.
    • (1978) Math. Ann. , vol.233 , pp. 103-124
    • Knapp, K.1
  • 26
    • 0003333513 scopus 로고
    • Transformation groups and algebraic K-theory
    • Springer, New York
    • Lück, W.: Transformation Groups and Algebraic K-theory, Lecture Notes in Math. 1408, Springer, New York, 1989.
    • (1989) Lecture Notes in Math. , vol.1408
    • Lück, W.1
  • 28
    • 0001585915 scopus 로고
    • The classification of non-Euclidean plane crystallographic groups
    • Macbeath, A. M.: The classification of non-Euclidean plane crystallographic groups., Canad. J. Math. 19 (1967), 1192-1205.
    • (1967) Canad. J. Math. , vol.19 , pp. 1192-1205
    • Macbeath, A.M.1
  • 29
    • 0000108937 scopus 로고
    • n without fixed points
    • n without fixed points. Amer. J. Math. 79 (1957), 623-630.
    • (1957) Amer. J. Math. , vol.79 , pp. 623-630
    • Milnor, J.1
  • 30
    • 0003275818 scopus 로고
    • Introduction to algebraic K-theory
    • Princeton University Press
    • Milnor, J.: Introduction to Algebraic K-theory, Ann. Math. Stud. 72, Princeton University Press, 1971.
    • (1971) Ann. Math. Stud. , vol.72
    • Milnor, J.1
  • 31
    • 0003366775 scopus 로고
    • Whitehead groups of finite groups
    • Cambridge Univ. Press
    • Oliver, R.: Whitehead Groups of Finite Groups, London Math. Soc. Lecture Notes Ser. 132, Cambridge Univ. Press, 1989.
    • (1989) London Math. Soc. Lecture Notes Ser. , vol.132
    • Oliver, R.1
  • 32
    • 0039097437 scopus 로고    scopus 로고
    • Algebraic K-theory of two-dimensional crystallographic groups
    • Pearson, K.: Algebraic K-theory of two-dimensional crystallographic groups, K-Theory 14 (1998), 265-280.
    • (1998) K-theory , vol.14 , pp. 265-280
    • Pearson, K.1
  • 33
    • 0003216501 scopus 로고
    • C*-algebras and their automorphisms groups
    • Academic Press, New York
    • Pedersen, G. K.: C*-algebras and their Automorphisms Groups, London Math. Soc. Monogr. 14, Academic Press, New York, 1989.
    • (1989) London Math. Soc. Monogr. , vol.14
    • Pedersen, G.K.1
  • 34
    • 0002506872 scopus 로고
    • A non-connective delooping of algebraic K-theory
    • Algebraic and Geometric Topology, Proc. Conf. Rutgers Univ., New Brunswick, Springer, New York
    • Pedersen, E. K. and Weibel, C. A.: A non-connective delooping of algebraic K-theory, In: Algebraic and Geometric Topology, Proc. Conf. Rutgers Univ., New Brunswick 1983, Lecture Notes in Math. 1126, Springer, New York, 166-181, 1985.
    • (1983) Lecture Notes in Math. , vol.1126 , pp. 166-181
    • Pedersen, E.K.1    Weibel, C.A.2
  • 35
    • 0039097435 scopus 로고
    • Infiniteness of the groups nil
    • Prasolov, A. V.: Infiniteness of the groups nil, Math. Notes 32, 1983, pp. 484-485.
    • (1983) Math. Notes , vol.32 , pp. 484-485
    • Prasolov, A.V.1
  • 36
    • 0000493082 scopus 로고
    • On the cohomology and K-theory of the general linear group over a finite field
    • Quillen, D.: On the cohomology and K-theory of the general linear group over a finite field, Ann. Math 96 (1972), 552-586.
    • (1972) Ann. Math , vol.96 , pp. 552-586
    • Quillen, D.1
  • 37
    • 0000790004 scopus 로고
    • Higher algebraic K-theory. I
    • Proceedings of Battelle Seattle Algebraic K-theory Conference 1972, Vol. I, Springer, New York
    • Quillen. D.: Higher algebraic K-theory. I., In: Proceedings of Battelle Seattle Algebraic K-theory Conference 1972, Vol. I, Lecture Notes in Math. 341, Springer, New York, 1973, pp. 85-147.
    • (1973) Lecture Notes in Math. , vol.341 , pp. 85-147
    • Quillen, D.1
  • 38
    • 0000226738 scopus 로고
    • i of rings of algebraic integers
    • Springer, New York
    • i of Rings of Algebraic Integers, Lecture Notes in Math. 341, Springer, New York, 1973, pp. 179-198.
    • (1973) Lecture Notes in Math. , vol.341 , pp. 179-198
    • Quillen, D.1
  • 39
    • 0000934268 scopus 로고
    • Ends of maps II
    • Quinn, F.: Ends of maps II, Invent. Math. 68 (1982), 353-424.
    • (1982) Invent. Math. , vol.68 , pp. 353-424
    • Quinn, F.1
  • 40
    • 0009153020 scopus 로고
    • Algebraic L-theory and topological manifolds
    • Cambridge Univ. Press
    • Ranicki, A.: Algebraic L-theory and Topological Manifolds, Cambridge Tracts in Math. 102, Cambridge Univ. Press, 1992.
    • (1992) Cambridge Tracts in Math. , vol.102
    • Ranicki, A.1
  • 42
    • 0001621239 scopus 로고
    • Linear representations of finite groups
    • Springer, New York
    • Serre, J. P.: Linear Representations of Finite Groups, Grad. Texts in Math. 42, Springer, New York, 1977.
    • (1977) Grad. Texts in Math. , vol.42
    • Serre, J.P.1
  • 43
    • 0004211763 scopus 로고
    • Springer, New York
    • Serre, J.-P.: Trees, Springer, New York, 1980.
    • (1980) Trees
    • Serre, J.-P.1
  • 44
    • 0039961114 scopus 로고
    • Wall's surgery obstruction group for G × Z
    • Shaneson, J.: Wall's surgery obstruction group for G × Z, Ann. of Math. 90 (1969), 296-334.
    • (1969) Ann. of Math. , vol.90 , pp. 296-334
    • Shaneson, J.1
  • 47
    • 0002633473 scopus 로고
    • Algebraic K-theory of generalized free products I, II
    • Waldhausen, F.: Algebraic K-theory of generalized free products I, II, Ann. of Math. 108 (1978), 135-256.
    • (1978) Ann. of Math. , vol.108 , pp. 135-256
    • Waldhausen, F.1
  • 48
    • 0002060855 scopus 로고
    • On non-Euclidean crystallographic groups
    • Wilkie, H. C: On non-Euclidean crystallographic groups, Math. Z. 91 (1966), 87-102.
    • (1966) Math. Z. , vol.91 , pp. 87-102
    • Wilkie, H.C.1
  • 50
    • 0040658511 scopus 로고
    • L-groups of crystallographic groups
    • Yamasaki, M.: L-groups of crystallographic groups, Invent. Math. 88 (1987), 571-602.
    • (1987) Invent. Math. , vol.88 , pp. 571-602
    • Yamasaki, M.1


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