Details
| Original language | English |
|---|---|
| Pages (from-to) | 482-506 |
| Number of pages | 25 |
| Journal | Journal of functional analysis |
| Volume | 237 |
| Issue number | 2 |
| Publication status | Published - 15 Aug 2006 |
Abstract
For a smooth manifold X with boundary we construct a semi-groupoid T- X and a continuous field Cr* ( T- X ) of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of ℏ-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
Keywords
- Continuous fields of C-algebras, Manifolds with boundary, Tangent groupoid
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
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In: Journal of functional analysis, Vol. 237, No. 2, 15.08.2006, p. 482-506.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A continuous field of C*-algebras and the tangent groupoid for manifolds with boundary
AU - Aastrup, Johannes
AU - Nest, Ryszard
AU - Schrohe, Elmar
N1 - Copyright: Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/8/15
Y1 - 2006/8/15
N2 - For a smooth manifold X with boundary we construct a semi-groupoid T- X and a continuous field Cr* ( T- X ) of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of ℏ-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
AB - For a smooth manifold X with boundary we construct a semi-groupoid T- X and a continuous field Cr* ( T- X ) of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of ℏ-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
KW - Continuous fields of C-algebras
KW - Manifolds with boundary
KW - Tangent groupoid
UR - http://www.scopus.com/inward/record.url?scp=33646936625&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2005.11.017
DO - 10.1016/j.jfa.2005.11.017
M3 - Article
AN - SCOPUS:33646936625
VL - 237
SP - 482
EP - 506
JO - Journal of functional analysis
JF - Journal of functional analysis
SN - 0022-1236
IS - 2
ER -