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Rectifiable diameters
of the Grassmann spaces of certain von Neumann algebras and
C*-algebras
Shuang Zhang |
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Vol. 177 (1997), No. 2, 377–398
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Abstract |
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We prove that any two homotopic projections in certain C*-algebras can be connected by a rectifiable path of projections whose length is bounded by a universal constant. In comparison, N.C. Phillips (1992) proved that there are C*-algebras in which such a universal constant does not exist. Our techniques are to estimate the number of symmetries needed to conjugate any two homotopic projections and to factor a unitary in the identity path component as a product of a limited number of symmetries. |
Milestones
Received: 8 April 1994
Revised: 15 October 1996
Published: 1 February 1997
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Authors |
| Shuang Zhang | |
| University of Cincinnati Cincinnati, OH 45221-0025 |
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