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» B. Brenken
B. Brenken
Professor Emeritus of Mathematics & Statistics
Mathematics
Pure Mathematics
+1 (403) 220-3948
Mathematical Sciences 440
bbrenken@ucalgary.ca
Office Hours
By appointment
Research Interests
General:
Operator Algebras
K-theory
Analysis:
C*-algebras
C*-dynamical systems
Topological directed graphs
Functional analysis
Mathematical Physics:
Completely positive maps
Currently Teaching
Not currently teaching any courses.
view past courses
Publications
Book
Brenken, B., Cuntz, Joachim, Elliott, George A. and Nest, Ryszard
.
On the classification of noncommutative tori. {III}
62. Amer. Math. Soc., 1987. 503-526. Print.
Journal Article
Brenken, B.
.
"
Topological quivers as multiplicity free relations
"
. Mathematica Scandinavica
106.2 (2010): 217-242. Print.
Brenken, B.
.
"
The isolated ideal of a correspondence associated with a topological quiver
"
. New York Journal of Mathematics
12.2006 (2006): 47-62. Print.
Brenken, B.
.
"
{$C\sp *$}-algebras associated with topological relations
"
. Journal of the Ramanujan Mathematical Society
19.1 (2004): 35-55. Print.
Brenken, B.
.
"
Endomorphisms of type {I} von {N}eumann algebras with discrete center
"
. Journal of Operator Theory
51.1 (2004): 19-34. Print.
Brenken, B.
.
"
$Csp *$-algebras of infinite graphs and Cuntz-Krieger algebras
"
. Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
45.3 (2002): 321-336. Print.
Brenken, B.
.
"
Cuntz-{K}rieger algebras and endomorphisms of finite direct sums of type {${\rm I}\sb \infty$} factors
"
. Transactions of the American Mathematical Society
353.10 (2001): 3835-3873 (electronic). Print.
Brenken, B.
.
"
Hecke algebras and semigroup crossed product {$C\sp *$}-algebras
"
. Pacific Journal of Mathematics
187.2 (1999): 241-262. Print.
Brenken, B.
.
"
The local product structure of expansive automorphisms of solenoids and their associated {$C\sp \ast$}-algebras
"
. Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques
48.4 (1996): 692-709. Print.
Brenken, B.
.
"
{$K$}-groups of solenoidal algebras. {I}
"
. Proc. Amer. Math. Soc.
123.5 (1995): 1457-1464. Print.
Brenken, B.
.
"
Isomorphism classes of solenoidal algebras. {I}
"
. Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques
36.4 (1993): 414-418. Print.
Brenken, B. and Jorgensen, Palle E. T.
.
"
A family of dilation crossed product algebras
"
. Journal of Operator Theory
25.2 (1991): 299-308. Print.
Brenken, B.
.
"
Classification of skew symmetric matrices
"
. Proc. Amer. Math. Soc.
108.1 (1990): 163-169. Print.
Brenken, B.
.
"
A classification of some noncommutative tori
"
. The Rocky Mountain Journal of Mathematics
20.2 (1990): 389-397. Print.
Brenken, B.
.
"
Norm limits of finite direct sums of {$I\sb \infty$} factors
"
. Journal of Operator Theory
15.1 (1986): 3-13. Print.
Brenken, B.
.
"
Approximately inner automorphisms of the irrational rotation algebra
"
. La Soci\'et\'e Royale du Canada. L'Academie des Sciences. Comptes Rendus Math\'ematiques. (Mathematical Reports)
7.6 (1985): 363-368. Print.
Brenken, B.
.
"
Representations and automorphisms of the irrational rotation algebra
"
. Pacific Journal of Mathematics
111.2 (1984): 257-282. Print.
Journal Articles - Peer Reviewed
Brenken, B.
.
"
Completely Positive Contractive Maps and Partial Isometries
"
.
Advances in Operator Theory
3.1 (2018): 271 -294. Print.
Brenken, B.
.
"
Ordered *-semigroups and a C*-correspondence for a Partial Isometry
"
.
SIGMA
10. (2014): 50. Print.
Brenken, B. and Niu, Z
.
"
The C*-algebra of a Partial Isometry
"
. Proc. Amer. Math. Soc.
140.1 (2012): 199-206. Print.
Brenken, B.
.
"
A Dynamical Core for Topological Directed Graphs
"
.
Muenster J Math.
3. (2010): 111-144. Print.
Courses
Degrees
PhD
University of Pennsylvania
, 1982
MA
University of Pennsylvania
, 1979
BSc (Hons)
University of Toronto
, 1977
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